Home / 1,132.40-1,698.24-584.52

Finding the Fourth Proportional to 1,132.40, 1,698.24 and 584.52

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Solution

The fourth proportional to 1,132.40, 1,698.24 and 584.52 is: 876.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.40 : 1,698.24 = 584.52 : x
  2. Step 2: Convert to fraction form
    1,132.40/1,698.24 = 584.52/x
  3. Step 3: Cross multiply
    1,132.40x = 1,698.24 × 584.52
  4. Step 4: Simplify right side
    1,132.40x = 992,655.24
  5. Step 5: Solve for x
    x = 992,655.24/1,132.40
  6. Step 6: Final answer
    x = 876.59

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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.