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Finding the Fourth Proportional to 1,527.72, 2,291.76 and 487.77

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Solution

The fourth proportional to 1,527.72, 2,291.76 and 487.77 is: 731.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.72 : 2,291.76 = 487.77 : x
  2. Step 2: Convert to fraction form
    1,527.72/2,291.76 = 487.77/x
  3. Step 3: Cross multiply
    1,527.72x = 2,291.76 × 487.77
  4. Step 4: Simplify right side
    1,527.72x = 1,117,851.78
  5. Step 5: Solve for x
    x = 1,117,851.78/1,527.72
  6. Step 6: Final answer
    x = 731.71

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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.