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Finding the Fourth Proportional to 693.48, 956.76 and 457.88

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Solution

The fourth proportional to 693.48, 956.76 and 457.88 is: 631.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.48 : 956.76 = 457.88 : x
  2. Step 2: Convert to fraction form
    693.48/956.76 = 457.88/x
  3. Step 3: Cross multiply
    693.48x = 956.76 × 457.88
  4. Step 4: Simplify right side
    693.48x = 438,076.49
  5. Step 5: Solve for x
    x = 438,076.49/693.48
  6. Step 6: Final answer
    x = 631.71

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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.