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Finding the Fourth Proportional to 1,527.06, 2,290.60 and 487.02

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Solution

The fourth proportional to 1,527.06, 2,290.60 and 487.02 is: 730.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.06 : 2,290.60 = 487.02 : x
  2. Step 2: Convert to fraction form
    1,527.06/2,290.60 = 487.02/x
  3. Step 3: Cross multiply
    1,527.06x = 2,290.60 × 487.02
  4. Step 4: Simplify right side
    1,527.06x = 1,115,568.01
  5. Step 5: Solve for x
    x = 1,115,568.01/1,527.06
  6. Step 6: Final answer
    x = 730.53

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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.