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Finding the Fourth Proportional to 1,363.55, 1,881.38 and 866.00

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Solution

The fourth proportional to 1,363.55, 1,881.38 and 866.00 is: 1,194.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.55 : 1,881.38 = 866.00 : x
  2. Step 2: Convert to fraction form
    1,363.55/1,881.38 = 866.00/x
  3. Step 3: Cross multiply
    1,363.55x = 1,881.38 × 866.00
  4. Step 4: Simplify right side
    1,363.55x = 1,629,261.34
  5. Step 5: Solve for x
    x = 1,629,261.34/1,363.55
  6. Step 6: Final answer
    x = 1,194.87

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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.