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Finding the Fourth Proportional to 689.24, 950.72 and 502.94

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Solution

The fourth proportional to 689.24, 950.72 and 502.94 is: 693.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.24 : 950.72 = 502.94 : x
  2. Step 2: Convert to fraction form
    689.24/950.72 = 502.94/x
  3. Step 3: Cross multiply
    689.24x = 950.72 × 502.94
  4. Step 4: Simplify right side
    689.24x = 478,155.12
  5. Step 5: Solve for x
    x = 478,155.12/689.24
  6. Step 6: Final answer
    x = 693.74

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