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Finding the Fourth Proportional to 1,233.74, 1,702.80 and 785.31

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Solution

The fourth proportional to 1,233.74, 1,702.80 and 785.31 is: 1,083.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.74 : 1,702.80 = 785.31 : x
  2. Step 2: Convert to fraction form
    1,233.74/1,702.80 = 785.31/x
  3. Step 3: Cross multiply
    1,233.74x = 1,702.80 × 785.31
  4. Step 4: Simplify right side
    1,233.74x = 1,337,225.87
  5. Step 5: Solve for x
    x = 1,337,225.87/1,233.74
  6. Step 6: Final answer
    x = 1,083.88

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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.