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Finding the Fourth Proportional to 1,119.18, 1,677.15 and 502.77

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Solution

The fourth proportional to 1,119.18, 1,677.15 and 502.77 is: 753.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.18 : 1,677.15 = 502.77 : x
  2. Step 2: Convert to fraction form
    1,119.18/1,677.15 = 502.77/x
  3. Step 3: Cross multiply
    1,119.18x = 1,677.15 × 502.77
  4. Step 4: Simplify right side
    1,119.18x = 843,220.71
  5. Step 5: Solve for x
    x = 843,220.71/1,119.18
  6. Step 6: Final answer
    x = 753.43

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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.