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Finding the Fourth Proportional to 1,170.14, 1,755.06 and 545.66

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Solution

The fourth proportional to 1,170.14, 1,755.06 and 545.66 is: 818.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.14 : 1,755.06 = 545.66 : x
  2. Step 2: Convert to fraction form
    1,170.14/1,755.06 = 545.66/x
  3. Step 3: Cross multiply
    1,170.14x = 1,755.06 × 545.66
  4. Step 4: Simplify right side
    1,170.14x = 957,666.04
  5. Step 5: Solve for x
    x = 957,666.04/1,170.14
  6. Step 6: Final answer
    x = 818.42

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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.