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Finding the Fourth Proportional to 1,342.74, 2,014.11 and 477.12

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Solution

The fourth proportional to 1,342.74, 2,014.11 and 477.12 is: 715.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.74 : 2,014.11 = 477.12 : x
  2. Step 2: Convert to fraction form
    1,342.74/2,014.11 = 477.12/x
  3. Step 3: Cross multiply
    1,342.74x = 2,014.11 × 477.12
  4. Step 4: Simplify right side
    1,342.74x = 960,972.16
  5. Step 5: Solve for x
    x = 960,972.16/1,342.74
  6. Step 6: Final answer
    x = 715.68

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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.