Home / 1,032.28-1,547.46-759.76

Finding the Fourth Proportional to 1,032.28, 1,547.46 and 759.76

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Solution

The fourth proportional to 1,032.28, 1,547.46 and 759.76 is: 1,138.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.28 : 1,547.46 = 759.76 : x
  2. Step 2: Convert to fraction form
    1,032.28/1,547.46 = 759.76/x
  3. Step 3: Cross multiply
    1,032.28x = 1,547.46 × 759.76
  4. Step 4: Simplify right side
    1,032.28x = 1,175,698.21
  5. Step 5: Solve for x
    x = 1,175,698.21/1,032.28
  6. Step 6: Final answer
    x = 1,138.93

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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.