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Finding the Fourth Proportional to 1,182.18, 1,776.63 and 800.10

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Solution

The fourth proportional to 1,182.18, 1,776.63 and 800.10 is: 1,202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.18 : 1,776.63 = 800.10 : x
  2. Step 2: Convert to fraction form
    1,182.18/1,776.63 = 800.10/x
  3. Step 3: Cross multiply
    1,182.18x = 1,776.63 × 800.10
  4. Step 4: Simplify right side
    1,182.18x = 1,421,481.66
  5. Step 5: Solve for x
    x = 1,421,481.66/1,182.18
  6. Step 6: Final answer
    x = 1,202.42

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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.