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Finding the Fourth Proportional to 934.56, 1,398.75 and 728.52

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Solution

The fourth proportional to 934.56, 1,398.75 and 728.52 is: 1,090.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.56 : 1,398.75 = 728.52 : x
  2. Step 2: Convert to fraction form
    934.56/1,398.75 = 728.52/x
  3. Step 3: Cross multiply
    934.56x = 1,398.75 × 728.52
  4. Step 4: Simplify right side
    934.56x = 1,019,017.35
  5. Step 5: Solve for x
    x = 1,019,017.35/934.56
  6. Step 6: Final answer
    x = 1,090.37

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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.