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Finding the Fourth Proportional to 756.76, 1,044.54 and 462.56

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Solution

The fourth proportional to 756.76, 1,044.54 and 462.56 is: 638.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.76 : 1,044.54 = 462.56 : x
  2. Step 2: Convert to fraction form
    756.76/1,044.54 = 462.56/x
  3. Step 3: Cross multiply
    756.76x = 1,044.54 × 462.56
  4. Step 4: Simplify right side
    756.76x = 483,162.42
  5. Step 5: Solve for x
    x = 483,162.42/756.76
  6. Step 6: Final answer
    x = 638.46

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Find fourth proportional to 378.38, 522.27 and 231.28
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.