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Finding the Fourth Proportional to 1,186.74, 1,776.86 and 981.90

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Solution

The fourth proportional to 1,186.74, 1,776.86 and 981.90 is: 1,470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.74 : 1,776.86 = 981.90 : x
  2. Step 2: Convert to fraction form
    1,186.74/1,776.86 = 981.90/x
  3. Step 3: Cross multiply
    1,186.74x = 1,776.86 × 981.90
  4. Step 4: Simplify right side
    1,186.74x = 1,744,698.83
  5. Step 5: Solve for x
    x = 1,744,698.83/1,186.74
  6. Step 6: Final answer
    x = 1,470.16

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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.