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Finding the Fourth Proportional to 1,527.87, 2,291.76 and 501.87

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Solution

The fourth proportional to 1,527.87, 2,291.76 and 501.87 is: 752.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.87 : 2,291.76 = 501.87 : x
  2. Step 2: Convert to fraction form
    1,527.87/2,291.76 = 501.87/x
  3. Step 3: Cross multiply
    1,527.87x = 2,291.76 × 501.87
  4. Step 4: Simplify right side
    1,527.87x = 1,150,165.59
  5. Step 5: Solve for x
    x = 1,150,165.59/1,527.87
  6. Step 6: Final answer
    x = 752.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.