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Finding the Fourth Proportional to 689.39, 951.20 and 502.97

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Solution

The fourth proportional to 689.39, 951.20 and 502.97 is: 693.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.39 : 951.20 = 502.97 : x
  2. Step 2: Convert to fraction form
    689.39/951.20 = 502.97/x
  3. Step 3: Cross multiply
    689.39x = 951.20 × 502.97
  4. Step 4: Simplify right side
    689.39x = 478,417.79
  5. Step 5: Solve for x
    x = 478,417.79/689.39
  6. Step 6: Final answer
    x = 693.98

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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.