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Finding the Fourth Proportional to 1,148.07, 1,584.24 and 728.49

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Solution

The fourth proportional to 1,148.07, 1,584.24 and 728.49 is: 1,005.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.07 : 1,584.24 = 728.49 : x
  2. Step 2: Convert to fraction form
    1,148.07/1,584.24 = 728.49/x
  3. Step 3: Cross multiply
    1,148.07x = 1,584.24 × 728.49
  4. Step 4: Simplify right side
    1,148.07x = 1,154,103.00
  5. Step 5: Solve for x
    x = 1,154,103.00/1,148.07
  6. Step 6: Final answer
    x = 1,005.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.