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Finding the Fourth Proportional to 1,130.73, 1,702.88 and 995.27

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Solution

The fourth proportional to 1,130.73, 1,702.88 and 995.27 is: 1,498.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.73 : 1,702.88 = 995.27 : x
  2. Step 2: Convert to fraction form
    1,130.73/1,702.88 = 995.27/x
  3. Step 3: Cross multiply
    1,130.73x = 1,702.88 × 995.27
  4. Step 4: Simplify right side
    1,130.73x = 1,694,811.89
  5. Step 5: Solve for x
    x = 1,694,811.89/1,130.73
  6. Step 6: Final answer
    x = 1,498.87

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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.