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Finding the Fourth Proportional to 1,527.77, 2,291.61 and 487.83

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Solution

The fourth proportional to 1,527.77, 2,291.61 and 487.83 is: 731.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.77 : 2,291.61 = 487.83 : x
  2. Step 2: Convert to fraction form
    1,527.77/2,291.61 = 487.83/x
  3. Step 3: Cross multiply
    1,527.77x = 2,291.61 × 487.83
  4. Step 4: Simplify right side
    1,527.77x = 1,117,913.67
  5. Step 5: Solve for x
    x = 1,117,913.67/1,527.77
  6. Step 6: Final answer
    x = 731.73

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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.