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Finding the Fourth Proportional to 1,038.76, 1,550.54 and 915.74

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Solution

The fourth proportional to 1,038.76, 1,550.54 and 915.74 is: 1,366.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.76 : 1,550.54 = 915.74 : x
  2. Step 2: Convert to fraction form
    1,038.76/1,550.54 = 915.74/x
  3. Step 3: Cross multiply
    1,038.76x = 1,550.54 × 915.74
  4. Step 4: Simplify right side
    1,038.76x = 1,419,879.17
  5. Step 5: Solve for x
    x = 1,419,879.17/1,038.76
  6. Step 6: Final answer
    x = 1,366.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.