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Finding the Fourth Proportional to 1,527.16, 2,290.98 and 602.72

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Solution

The fourth proportional to 1,527.16, 2,290.98 and 602.72 is: 904.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.16 : 2,290.98 = 602.72 : x
  2. Step 2: Convert to fraction form
    1,527.16/2,290.98 = 602.72/x
  3. Step 3: Cross multiply
    1,527.16x = 2,290.98 × 602.72
  4. Step 4: Simplify right side
    1,527.16x = 1,380,819.47
  5. Step 5: Solve for x
    x = 1,380,819.47/1,527.16
  6. Step 6: Final answer
    x = 904.17

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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.