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Finding the Fourth Proportional to 1,014.77, 1,522.58 and 487.42

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Solution

The fourth proportional to 1,014.77, 1,522.58 and 487.42 is: 731.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.77 : 1,522.58 = 487.42 : x
  2. Step 2: Convert to fraction form
    1,014.77/1,522.58 = 487.42/x
  3. Step 3: Cross multiply
    1,014.77x = 1,522.58 × 487.42
  4. Step 4: Simplify right side
    1,014.77x = 742,129.70
  5. Step 5: Solve for x
    x = 742,129.70/1,014.77
  6. Step 6: Final answer
    x = 731.33

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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.