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Finding the Fourth Proportional to 1,176.54, 1,756.95 and 1,108.19

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Solution

The fourth proportional to 1,176.54, 1,756.95 and 1,108.19 is: 1,654.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.54 : 1,756.95 = 1,108.19 : x
  2. Step 2: Convert to fraction form
    1,176.54/1,756.95 = 1,108.19/x
  3. Step 3: Cross multiply
    1,176.54x = 1,756.95 × 1,108.19
  4. Step 4: Simplify right side
    1,176.54x = 1,947,034.66
  5. Step 5: Solve for x
    x = 1,947,034.66/1,176.54
  6. Step 6: Final answer
    x = 1,654.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.