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Finding the Fourth Proportional to 1,365.84, 1,884.57 and 868.29

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Solution

The fourth proportional to 1,365.84, 1,884.57 and 868.29 is: 1,198.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.84 : 1,884.57 = 868.29 : x
  2. Step 2: Convert to fraction form
    1,365.84/1,884.57 = 868.29/x
  3. Step 3: Cross multiply
    1,365.84x = 1,884.57 × 868.29
  4. Step 4: Simplify right side
    1,365.84x = 1,636,358.00
  5. Step 5: Solve for x
    x = 1,636,358.00/1,365.84
  6. Step 6: Final answer
    x = 1,198.06

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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.