Home / 1,182.18-1,630.32-809.70

Finding the Fourth Proportional to 1,182.18, 1,630.32 and 809.70

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Solution

The fourth proportional to 1,182.18, 1,630.32 and 809.70 is: 1,116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.18 : 1,630.32 = 809.70 : x
  2. Step 2: Convert to fraction form
    1,182.18/1,630.32 = 809.70/x
  3. Step 3: Cross multiply
    1,182.18x = 1,630.32 × 809.70
  4. Step 4: Simplify right side
    1,182.18x = 1,320,070.10
  5. Step 5: Solve for x
    x = 1,320,070.10/1,182.18
  6. Step 6: Final answer
    x = 1,116.64

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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.