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Finding the Fourth Proportional to 1,148.52, 1,721.40 and 600.40

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Solution

The fourth proportional to 1,148.52, 1,721.40 and 600.40 is: 899.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.52 : 1,721.40 = 600.40 : x
  2. Step 2: Convert to fraction form
    1,148.52/1,721.40 = 600.40/x
  3. Step 3: Cross multiply
    1,148.52x = 1,721.40 × 600.40
  4. Step 4: Simplify right side
    1,148.52x = 1,033,528.56
  5. Step 5: Solve for x
    x = 1,033,528.56/1,148.52
  6. Step 6: Final answer
    x = 899.88

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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.