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Finding the Fourth Proportional to 925.04, 1,389.24 and 730.64

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Solution

The fourth proportional to 925.04, 1,389.24 and 730.64 is: 1,097.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.04 : 1,389.24 = 730.64 : x
  2. Step 2: Convert to fraction form
    925.04/1,389.24 = 730.64/x
  3. Step 3: Cross multiply
    925.04x = 1,389.24 × 730.64
  4. Step 4: Simplify right side
    925.04x = 1,015,034.31
  5. Step 5: Solve for x
    x = 1,015,034.31/925.04
  6. Step 6: Final answer
    x = 1,097.29

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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.