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Finding the Fourth Proportional to 728.52, 1,094.40 and 728.52

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Solution

The fourth proportional to 728.52, 1,094.40 and 728.52 is: 1,094.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.52 : 1,094.40 = 728.52 : x
  2. Step 2: Convert to fraction form
    728.52/1,094.40 = 728.52/x
  3. Step 3: Cross multiply
    728.52x = 1,094.40 × 728.52
  4. Step 4: Simplify right side
    728.52x = 797,292.29
  5. Step 5: Solve for x
    x = 797,292.29/728.52
  6. Step 6: Final answer
    x = 1,094.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.