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Finding the Fourth Proportional to 1,411.07, 2,116.55 and 437.17

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Solution

The fourth proportional to 1,411.07, 2,116.55 and 437.17 is: 655.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.07 : 2,116.55 = 437.17 : x
  2. Step 2: Convert to fraction form
    1,411.07/2,116.55 = 437.17/x
  3. Step 3: Cross multiply
    1,411.07x = 2,116.55 × 437.17
  4. Step 4: Simplify right side
    1,411.07x = 925,287.97
  5. Step 5: Solve for x
    x = 925,287.97/1,411.07
  6. Step 6: Final answer
    x = 655.73

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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.