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Finding the Fourth Proportional to 690.72, 1,033.75 and 502.30

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Solution

The fourth proportional to 690.72, 1,033.75 and 502.30 is: 751.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.72 : 1,033.75 = 502.30 : x
  2. Step 2: Convert to fraction form
    690.72/1,033.75 = 502.30/x
  3. Step 3: Cross multiply
    690.72x = 1,033.75 × 502.30
  4. Step 4: Simplify right side
    690.72x = 519,252.63
  5. Step 5: Solve for x
    x = 519,252.63/690.72
  6. Step 6: Final answer
    x = 751.76

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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.