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Finding the Fourth Proportional to 1,497.82, 2,066.40 and 868.42

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Solution

The fourth proportional to 1,497.82, 2,066.40 and 868.42 is: 1,198.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.82 : 2,066.40 = 868.42 : x
  2. Step 2: Convert to fraction form
    1,497.82/2,066.40 = 868.42/x
  3. Step 3: Cross multiply
    1,497.82x = 2,066.40 × 868.42
  4. Step 4: Simplify right side
    1,497.82x = 1,794,503.09
  5. Step 5: Solve for x
    x = 1,794,503.09/1,497.82
  6. Step 6: Final answer
    x = 1,198.08

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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.