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Finding the Fourth Proportional to 1,125.27, 1,686.51 and 508.80

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Solution

The fourth proportional to 1,125.27, 1,686.51 and 508.80 is: 762.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.27 : 1,686.51 = 508.80 : x
  2. Step 2: Convert to fraction form
    1,125.27/1,686.51 = 508.80/x
  3. Step 3: Cross multiply
    1,125.27x = 1,686.51 × 508.80
  4. Step 4: Simplify right side
    1,125.27x = 858,096.29
  5. Step 5: Solve for x
    x = 858,096.29/1,125.27
  6. Step 6: Final answer
    x = 762.57

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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.