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Finding the Fourth Proportional to 1,387.02, 1,914.18 and 797.70

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Solution

The fourth proportional to 1,387.02, 1,914.18 and 797.70 is: 1,100.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.02 : 1,914.18 = 797.70 : x
  2. Step 2: Convert to fraction form
    1,387.02/1,914.18 = 797.70/x
  3. Step 3: Cross multiply
    1,387.02x = 1,914.18 × 797.70
  4. Step 4: Simplify right side
    1,387.02x = 1,526,941.39
  5. Step 5: Solve for x
    x = 1,526,941.39/1,387.02
  6. Step 6: Final answer
    x = 1,100.88

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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.