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Finding the Fourth Proportional to 1,378.64, 1,902.12 and 854.48

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Solution

The fourth proportional to 1,378.64, 1,902.12 and 854.48 is: 1,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.64 : 1,902.12 = 854.48 : x
  2. Step 2: Convert to fraction form
    1,378.64/1,902.12 = 854.48/x
  3. Step 3: Cross multiply
    1,378.64x = 1,902.12 × 854.48
  4. Step 4: Simplify right side
    1,378.64x = 1,625,323.50
  5. Step 5: Solve for x
    x = 1,625,323.50/1,378.64
  6. Step 6: Final answer
    x = 1,178.93

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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.