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Finding the Fourth Proportional to 932.83, 1,396.54 and 702.69

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Solution

The fourth proportional to 932.83, 1,396.54 and 702.69 is: 1,051.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.83 : 1,396.54 = 702.69 : x
  2. Step 2: Convert to fraction form
    932.83/1,396.54 = 702.69/x
  3. Step 3: Cross multiply
    932.83x = 1,396.54 × 702.69
  4. Step 4: Simplify right side
    932.83x = 981,325.95
  5. Step 5: Solve for x
    x = 981,325.95/932.83
  6. Step 6: Final answer
    x = 1,051.99

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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.