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Finding the Fourth Proportional to 1,411.25, 2,115.61 and 717.53

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Solution

The fourth proportional to 1,411.25, 2,115.61 and 717.53 is: 1,075.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.25 : 2,115.61 = 717.53 : x
  2. Step 2: Convert to fraction form
    1,411.25/2,115.61 = 717.53/x
  3. Step 3: Cross multiply
    1,411.25x = 2,115.61 × 717.53
  4. Step 4: Simplify right side
    1,411.25x = 1,518,001.27
  5. Step 5: Solve for x
    x = 1,518,001.27/1,411.25
  6. Step 6: Final answer
    x = 1,075.65

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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.