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Finding the Fourth Proportional to 1,160.83, 1,742.51 and 467.98

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Solution

The fourth proportional to 1,160.83, 1,742.51 and 467.98 is: 702.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.83 : 1,742.51 = 467.98 : x
  2. Step 2: Convert to fraction form
    1,160.83/1,742.51 = 467.98/x
  3. Step 3: Cross multiply
    1,160.83x = 1,742.51 × 467.98
  4. Step 4: Simplify right side
    1,160.83x = 815,456.64
  5. Step 5: Solve for x
    x = 815,456.64/1,160.83
  6. Step 6: Final answer
    x = 702.48

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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.