Home / 1,148.13-1,584.24-650.70

Finding the Fourth Proportional to 1,148.13, 1,584.24 and 650.70

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Solution

The fourth proportional to 1,148.13, 1,584.24 and 650.70 is: 897.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.13 : 1,584.24 = 650.70 : x
  2. Step 2: Convert to fraction form
    1,148.13/1,584.24 = 650.70/x
  3. Step 3: Cross multiply
    1,148.13x = 1,584.24 × 650.70
  4. Step 4: Simplify right side
    1,148.13x = 1,030,864.97
  5. Step 5: Solve for x
    x = 1,030,864.97/1,148.13
  6. Step 6: Final answer
    x = 897.86

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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.