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Finding the Fourth Proportional to 1,077.17, 1,614.39 and 460.14

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Solution

The fourth proportional to 1,077.17, 1,614.39 and 460.14 is: 689.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.17 : 1,614.39 = 460.14 : x
  2. Step 2: Convert to fraction form
    1,077.17/1,614.39 = 460.14/x
  3. Step 3: Cross multiply
    1,077.17x = 1,614.39 × 460.14
  4. Step 4: Simplify right side
    1,077.17x = 742,845.41
  5. Step 5: Solve for x
    x = 742,845.41/1,077.17
  6. Step 6: Final answer
    x = 689.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.