Home / 1,456.04-2,008.84-826.50

Finding the Fourth Proportional to 1,456.04, 2,008.84 and 826.50

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Solution

The fourth proportional to 1,456.04, 2,008.84 and 826.50 is: 1,140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.04 : 2,008.84 = 826.50 : x
  2. Step 2: Convert to fraction form
    1,456.04/2,008.84 = 826.50/x
  3. Step 3: Cross multiply
    1,456.04x = 2,008.84 × 826.50
  4. Step 4: Simplify right side
    1,456.04x = 1,660,306.26
  5. Step 5: Solve for x
    x = 1,660,306.26/1,456.04
  6. Step 6: Final answer
    x = 1,140.29

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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.