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Finding the Fourth Proportional to 932.89, 1,404.86 and 812.59

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Solution

The fourth proportional to 932.89, 1,404.86 and 812.59 is: 1,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.89 : 1,404.86 = 812.59 : x
  2. Step 2: Convert to fraction form
    932.89/1,404.86 = 812.59/x
  3. Step 3: Cross multiply
    932.89x = 1,404.86 × 812.59
  4. Step 4: Simplify right side
    932.89x = 1,141,575.19
  5. Step 5: Solve for x
    x = 1,141,575.19/932.89
  6. Step 6: Final answer
    x = 1,223.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.