Home / 1,456.32-2,009.84-826.95

Finding the Fourth Proportional to 1,456.32, 2,009.84 and 826.95

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Solution

The fourth proportional to 1,456.32, 2,009.84 and 826.95 is: 1,141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.32 : 2,009.84 = 826.95 : x
  2. Step 2: Convert to fraction form
    1,456.32/2,009.84 = 826.95/x
  3. Step 3: Cross multiply
    1,456.32x = 2,009.84 × 826.95
  4. Step 4: Simplify right side
    1,456.32x = 1,662,033.05
  5. Step 5: Solve for x
    x = 1,662,033.05/1,456.32
  6. Step 6: Final answer
    x = 1,141.26

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1.5x scale

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.