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Finding the Fourth Proportional to 1,245.38, 1,867.08 and 807.08

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Solution

The fourth proportional to 1,245.38, 1,867.08 and 807.08 is: 1,209.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.38 : 1,867.08 = 807.08 : x
  2. Step 2: Convert to fraction form
    1,245.38/1,867.08 = 807.08/x
  3. Step 3: Cross multiply
    1,245.38x = 1,867.08 × 807.08
  4. Step 4: Simplify right side
    1,245.38x = 1,506,882.93
  5. Step 5: Solve for x
    x = 1,506,882.93/1,245.38
  6. Step 6: Final answer
    x = 1,209.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.