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Finding the Fourth Proportional to 1,182.30, 1,631.70 and 809.70

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Solution

The fourth proportional to 1,182.30, 1,631.70 and 809.70 is: 1,117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.30 : 1,631.70 = 809.70 : x
  2. Step 2: Convert to fraction form
    1,182.30/1,631.70 = 809.70/x
  3. Step 3: Cross multiply
    1,182.30x = 1,631.70 × 809.70
  4. Step 4: Simplify right side
    1,182.30x = 1,321,187.49
  5. Step 5: Solve for x
    x = 1,321,187.49/1,182.30
  6. Step 6: Final answer
    x = 1,117.47

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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.