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Finding the Fourth Proportional to 925.02, 1,275.48 and 729

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Solution

The fourth proportional to 925.02, 1,275.48 and 729 is: 1,005.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.02 : 1,275.48 = 729 : x
  2. Step 2: Convert to fraction form
    925.02/1,275.48 = 729/x
  3. Step 3: Cross multiply
    925.02x = 1,275.48 × 729
  4. Step 4: Simplify right side
    925.02x = 929,824.92
  5. Step 5: Solve for x
    x = 929,824.92/925.02
  6. Step 6: Final answer
    x = 1,005.19

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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.