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Finding the Fourth Proportional to 932, 1,398.06 and 873.68

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Solution

The fourth proportional to 932, 1,398.06 and 873.68 is: 1,310.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    932 : 1,398.06 = 873.68 : x
  2. Step 2: Convert to fraction form
    932/1,398.06 = 873.68/x
  3. Step 3: Cross multiply
    932x = 1,398.06 × 873.68
  4. Step 4: Simplify right side
    932x = 1,221,457.06
  5. Step 5: Solve for x
    x = 1,221,457.06/932
  6. Step 6: Final answer
    x = 1,310.58

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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.