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Finding the Fourth Proportional to 596.56, 826.77 and 587.45

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Solution

The fourth proportional to 596.56, 826.77 and 587.45 is: 814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.56 : 826.77 = 587.45 : x
  2. Step 2: Convert to fraction form
    596.56/826.77 = 587.45/x
  3. Step 3: Cross multiply
    596.56x = 826.77 × 587.45
  4. Step 4: Simplify right side
    596.56x = 485,686.04
  5. Step 5: Solve for x
    x = 485,686.04/596.56
  6. Step 6: Final answer
    x = 814.14

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.