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Finding the Fourth Proportional to 1,365.96, 1,884.47 and 868.88

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Solution

The fourth proportional to 1,365.96, 1,884.47 and 868.88 is: 1,198.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.96 : 1,884.47 = 868.88 : x
  2. Step 2: Convert to fraction form
    1,365.96/1,884.47 = 868.88/x
  3. Step 3: Cross multiply
    1,365.96x = 1,884.47 × 868.88
  4. Step 4: Simplify right side
    1,365.96x = 1,637,368.06
  5. Step 5: Solve for x
    x = 1,637,368.06/1,365.96
  6. Step 6: Final answer
    x = 1,198.69

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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.