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Finding the Fourth Proportional to 1,200.04, 1,799.46 and 925.46

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Solution

The fourth proportional to 1,200.04, 1,799.46 and 925.46 is: 1,387.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.04 : 1,799.46 = 925.46 : x
  2. Step 2: Convert to fraction form
    1,200.04/1,799.46 = 925.46/x
  3. Step 3: Cross multiply
    1,200.04x = 1,799.46 × 925.46
  4. Step 4: Simplify right side
    1,200.04x = 1,665,328.25
  5. Step 5: Solve for x
    x = 1,665,328.25/1,200.04
  6. Step 6: Final answer
    x = 1,387.73

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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.