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Finding the Fourth Proportional to 690.58, 1,036.24 and 502.97

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Solution

The fourth proportional to 690.58, 1,036.24 and 502.97 is: 754.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.58 : 1,036.24 = 502.97 : x
  2. Step 2: Convert to fraction form
    690.58/1,036.24 = 502.97/x
  3. Step 3: Cross multiply
    690.58x = 1,036.24 × 502.97
  4. Step 4: Simplify right side
    690.58x = 521,197.63
  5. Step 5: Solve for x
    x = 521,197.63/690.58
  6. Step 6: Final answer
    x = 754.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.