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Finding the Fourth Proportional to 1,527.12, 2,291.61 and 602.53

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Solution

The fourth proportional to 1,527.12, 2,291.61 and 602.53 is: 904.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.12 : 2,291.61 = 602.53 : x
  2. Step 2: Convert to fraction form
    1,527.12/2,291.61 = 602.53/x
  3. Step 3: Cross multiply
    1,527.12x = 2,291.61 × 602.53
  4. Step 4: Simplify right side
    1,527.12x = 1,380,763.77
  5. Step 5: Solve for x
    x = 1,380,763.77/1,527.12
  6. Step 6: Final answer
    x = 904.16

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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.