Home / 1,182.04-1,630.32-809.80

Finding the Fourth Proportional to 1,182.04, 1,630.32 and 809.80

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Solution

The fourth proportional to 1,182.04, 1,630.32 and 809.80 is: 1,116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.04 : 1,630.32 = 809.80 : x
  2. Step 2: Convert to fraction form
    1,182.04/1,630.32 = 809.80/x
  3. Step 3: Cross multiply
    1,182.04x = 1,630.32 × 809.80
  4. Step 4: Simplify right side
    1,182.04x = 1,320,233.14
  5. Step 5: Solve for x
    x = 1,320,233.14/1,182.04
  6. Step 6: Final answer
    x = 1,116.91

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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.