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Finding the Fourth Proportional to 932.95, 1,288.02 and 829.15

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Solution

The fourth proportional to 932.95, 1,288.02 and 829.15 is: 1,144.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.95 : 1,288.02 = 829.15 : x
  2. Step 2: Convert to fraction form
    932.95/1,288.02 = 829.15/x
  3. Step 3: Cross multiply
    932.95x = 1,288.02 × 829.15
  4. Step 4: Simplify right side
    932.95x = 1,067,967.27
  5. Step 5: Solve for x
    x = 1,067,967.27/932.95
  6. Step 6: Final answer
    x = 1,144.72

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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.