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Finding the Fourth Proportional to 1,160.86, 1,740.54 and 641.11

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Solution

The fourth proportional to 1,160.86, 1,740.54 and 641.11 is: 961.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.86 : 1,740.54 = 641.11 : x
  2. Step 2: Convert to fraction form
    1,160.86/1,740.54 = 641.11/x
  3. Step 3: Cross multiply
    1,160.86x = 1,740.54 × 641.11
  4. Step 4: Simplify right side
    1,160.86x = 1,115,877.60
  5. Step 5: Solve for x
    x = 1,115,877.60/1,160.86
  6. Step 6: Final answer
    x = 961.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.