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Finding the Fourth Proportional to 1,061.75, 1,585.16 and 907.73

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Solution

The fourth proportional to 1,061.75, 1,585.16 and 907.73 is: 1,355.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.75 : 1,585.16 = 907.73 : x
  2. Step 2: Convert to fraction form
    1,061.75/1,585.16 = 907.73/x
  3. Step 3: Cross multiply
    1,061.75x = 1,585.16 × 907.73
  4. Step 4: Simplify right side
    1,061.75x = 1,438,897.29
  5. Step 5: Solve for x
    x = 1,438,897.29/1,061.75
  6. Step 6: Final answer
    x = 1,355.21

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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.