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Finding the Fourth Proportional to 1,398.24, 2,097.56 and 424.24

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Solution

The fourth proportional to 1,398.24, 2,097.56 and 424.24 is: 636.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.24 : 2,097.56 = 424.24 : x
  2. Step 2: Convert to fraction form
    1,398.24/2,097.56 = 424.24/x
  3. Step 3: Cross multiply
    1,398.24x = 2,097.56 × 424.24
  4. Step 4: Simplify right side
    1,398.24x = 889,868.85
  5. Step 5: Solve for x
    x = 889,868.85/1,398.24
  6. Step 6: Final answer
    x = 636.42

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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.