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Finding the Fourth Proportional to 693.39, 956.97 and 472.53

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Solution

The fourth proportional to 693.39, 956.97 and 472.53 is: 652.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.39 : 956.97 = 472.53 : x
  2. Step 2: Convert to fraction form
    693.39/956.97 = 472.53/x
  3. Step 3: Cross multiply
    693.39x = 956.97 × 472.53
  4. Step 4: Simplify right side
    693.39x = 452,197.03
  5. Step 5: Solve for x
    x = 452,197.03/693.39
  6. Step 6: Final answer
    x = 652.15

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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.