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Finding the Fourth Proportional to 759.18, 1,138.77 and 502.62

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Solution

The fourth proportional to 759.18, 1,138.77 and 502.62 is: 753.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.18 : 1,138.77 = 502.62 : x
  2. Step 2: Convert to fraction form
    759.18/1,138.77 = 502.62/x
  3. Step 3: Cross multiply
    759.18x = 1,138.77 × 502.62
  4. Step 4: Simplify right side
    759.18x = 572,368.58
  5. Step 5: Solve for x
    x = 572,368.58/759.18
  6. Step 6: Final answer
    x = 753.93

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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.