Home / 1,200.38-1,799.46-430.70

Finding the Fourth Proportional to 1,200.38, 1,799.46 and 430.70

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Solution

The fourth proportional to 1,200.38, 1,799.46 and 430.70 is: 645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.38 : 1,799.46 = 430.70 : x
  2. Step 2: Convert to fraction form
    1,200.38/1,799.46 = 430.70/x
  3. Step 3: Cross multiply
    1,200.38x = 1,799.46 × 430.70
  4. Step 4: Simplify right side
    1,200.38x = 775,018.42
  5. Step 5: Solve for x
    x = 775,018.42/1,200.38
  6. Step 6: Final answer
    x = 645.65

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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.