Home / 1,218.24-1,681.92-869.76

Finding the Fourth Proportional to 1,218.24, 1,681.92 and 869.76

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Solution

The fourth proportional to 1,218.24, 1,681.92 and 869.76 is: 1,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.24 : 1,681.92 = 869.76 : x
  2. Step 2: Convert to fraction form
    1,218.24/1,681.92 = 869.76/x
  3. Step 3: Cross multiply
    1,218.24x = 1,681.92 × 869.76
  4. Step 4: Simplify right side
    1,218.24x = 1,462,866.74
  5. Step 5: Solve for x
    x = 1,462,866.74/1,218.24
  6. Step 6: Final answer
    x = 1,200.80

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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.