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Finding the Fourth Proportional to 1,281.59, 1,769.18 and 862.23

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Solution

The fourth proportional to 1,281.59, 1,769.18 and 862.23 is: 1,190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.59 : 1,769.18 = 862.23 : x
  2. Step 2: Convert to fraction form
    1,281.59/1,769.18 = 862.23/x
  3. Step 3: Cross multiply
    1,281.59x = 1,769.18 × 862.23
  4. Step 4: Simplify right side
    1,281.59x = 1,525,435.76
  5. Step 5: Solve for x
    x = 1,525,435.76/1,281.59
  6. Step 6: Final answer
    x = 1,190.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.