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Finding the Fourth Proportional to 1,411.34, 2,116.28 and 437.30

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Solution

The fourth proportional to 1,411.34, 2,116.28 and 437.30 is: 655.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.34 : 2,116.28 = 437.30 : x
  2. Step 2: Convert to fraction form
    1,411.34/2,116.28 = 437.30/x
  3. Step 3: Cross multiply
    1,411.34x = 2,116.28 × 437.30
  4. Step 4: Simplify right side
    1,411.34x = 925,449.24
  5. Step 5: Solve for x
    x = 925,449.24/1,411.34
  6. Step 6: Final answer
    x = 655.72

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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.