Home / 1,032.17-1,549.70-826.07

Finding the Fourth Proportional to 1,032.17, 1,549.70 and 826.07

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Solution

The fourth proportional to 1,032.17, 1,549.70 and 826.07 is: 1,240.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.17 : 1,549.70 = 826.07 : x
  2. Step 2: Convert to fraction form
    1,032.17/1,549.70 = 826.07/x
  3. Step 3: Cross multiply
    1,032.17x = 1,549.70 × 826.07
  4. Step 4: Simplify right side
    1,032.17x = 1,280,160.68
  5. Step 5: Solve for x
    x = 1,280,160.68/1,032.17
  6. Step 6: Final answer
    x = 1,240.26

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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.