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Finding the Fourth Proportional to 1,527.28, 2,290.02 and 487.04

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Solution

The fourth proportional to 1,527.28, 2,290.02 and 487.04 is: 730.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.28 : 2,290.02 = 487.04 : x
  2. Step 2: Convert to fraction form
    1,527.28/2,290.02 = 487.04/x
  3. Step 3: Cross multiply
    1,527.28x = 2,290.02 × 487.04
  4. Step 4: Simplify right side
    1,527.28x = 1,115,331.34
  5. Step 5: Solve for x
    x = 1,115,331.34/1,527.28
  6. Step 6: Final answer
    x = 730.27

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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.