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Finding the Fourth Proportional to 1,331.65, 1,835.75 and 932.07

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Solution

The fourth proportional to 1,331.65, 1,835.75 and 932.07 is: 1,284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.65 : 1,835.75 = 932.07 : x
  2. Step 2: Convert to fraction form
    1,331.65/1,835.75 = 932.07/x
  3. Step 3: Cross multiply
    1,331.65x = 1,835.75 × 932.07
  4. Step 4: Simplify right side
    1,331.65x = 1,711,057.59
  5. Step 5: Solve for x
    x = 1,711,057.59/1,331.65
  6. Step 6: Final answer
    x = 1,284.92

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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.