Home / 1,292.50-1,937.28-829.18

Finding the Fourth Proportional to 1,292.50, 1,937.28 and 829.18

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Solution

The fourth proportional to 1,292.50, 1,937.28 and 829.18 is: 1,242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.50 : 1,937.28 = 829.18 : x
  2. Step 2: Convert to fraction form
    1,292.50/1,937.28 = 829.18/x
  3. Step 3: Cross multiply
    1,292.50x = 1,937.28 × 829.18
  4. Step 4: Simplify right side
    1,292.50x = 1,606,353.83
  5. Step 5: Solve for x
    x = 1,606,353.83/1,292.50
  6. Step 6: Final answer
    x = 1,242.83

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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.