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Finding the Fourth Proportional to 1,148.59, 1,729.09 and 1,046.53

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Solution

The fourth proportional to 1,148.59, 1,729.09 and 1,046.53 is: 1,575.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.59 : 1,729.09 = 1,046.53 : x
  2. Step 2: Convert to fraction form
    1,148.59/1,729.09 = 1,046.53/x
  3. Step 3: Cross multiply
    1,148.59x = 1,729.09 × 1,046.53
  4. Step 4: Simplify right side
    1,148.59x = 1,809,544.56
  5. Step 5: Solve for x
    x = 1,809,544.56/1,148.59
  6. Step 6: Final answer
    x = 1,575.45

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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.