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Finding the Fourth Proportional to 932.28, 1,289.34 and 829.08

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Solution

The fourth proportional to 932.28, 1,289.34 and 829.08 is: 1,146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.28 : 1,289.34 = 829.08 : x
  2. Step 2: Convert to fraction form
    932.28/1,289.34 = 829.08/x
  3. Step 3: Cross multiply
    932.28x = 1,289.34 × 829.08
  4. Step 4: Simplify right side
    932.28x = 1,068,966.01
  5. Step 5: Solve for x
    x = 1,068,966.01/932.28
  6. Step 6: Final answer
    x = 1,146.61

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1.5x scale

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.