Home / 1,132.52-1,697.40-584.84

Finding the Fourth Proportional to 1,132.52, 1,697.40 and 584.84

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Solution

The fourth proportional to 1,132.52, 1,697.40 and 584.84 is: 876.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.52 : 1,697.40 = 584.84 : x
  2. Step 2: Convert to fraction form
    1,132.52/1,697.40 = 584.84/x
  3. Step 3: Cross multiply
    1,132.52x = 1,697.40 × 584.84
  4. Step 4: Simplify right side
    1,132.52x = 992,707.42
  5. Step 5: Solve for x
    x = 992,707.42/1,132.52
  6. Step 6: Final answer
    x = 876.55

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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.