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Finding the Fourth Proportional to 1,148.56, 1,729.08 and 1,046.52

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Solution

The fourth proportional to 1,148.56, 1,729.08 and 1,046.52 is: 1,575.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.56 : 1,729.08 = 1,046.52 : x
  2. Step 2: Convert to fraction form
    1,148.56/1,729.08 = 1,046.52/x
  3. Step 3: Cross multiply
    1,148.56x = 1,729.08 × 1,046.52
  4. Step 4: Simplify right side
    1,148.56x = 1,809,516.80
  5. Step 5: Solve for x
    x = 1,809,516.80/1,148.56
  6. Step 6: Final answer
    x = 1,575.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.