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Finding the Fourth Proportional to 1,527.47, 2,291.33 and 487.62

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Solution

The fourth proportional to 1,527.47, 2,291.33 and 487.62 is: 731.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.47 : 2,291.33 = 487.62 : x
  2. Step 2: Convert to fraction form
    1,527.47/2,291.33 = 487.62/x
  3. Step 3: Cross multiply
    1,527.47x = 2,291.33 × 487.62
  4. Step 4: Simplify right side
    1,527.47x = 1,117,286.88
  5. Step 5: Solve for x
    x = 1,117,286.88/1,527.47
  6. Step 6: Final answer
    x = 731.46

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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.