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Finding the Fourth Proportional to 1,527.67, 2,290.65 and 487.43

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Solution

The fourth proportional to 1,527.67, 2,290.65 and 487.43 is: 730.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.67 : 2,290.65 = 487.43 : x
  2. Step 2: Convert to fraction form
    1,527.67/2,290.65 = 487.43/x
  3. Step 3: Cross multiply
    1,527.67x = 2,290.65 × 487.43
  4. Step 4: Simplify right side
    1,527.67x = 1,116,526.84
  5. Step 5: Solve for x
    x = 1,116,526.84/1,527.67
  6. Step 6: Final answer
    x = 730.87

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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.