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Finding the Fourth Proportional to 1,175.89, 1,630.15 and 1,113.47

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Solution

The fourth proportional to 1,175.89, 1,630.15 and 1,113.47 is: 1,543.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.89 : 1,630.15 = 1,113.47 : x
  2. Step 2: Convert to fraction form
    1,175.89/1,630.15 = 1,113.47/x
  3. Step 3: Cross multiply
    1,175.89x = 1,630.15 × 1,113.47
  4. Step 4: Simplify right side
    1,175.89x = 1,815,109.40
  5. Step 5: Solve for x
    x = 1,815,109.40/1,175.89
  6. Step 6: Final answer
    x = 1,543.61

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.