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Finding the Fourth Proportional to 1,200.97, 1,657.31 and 677.00

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Solution

The fourth proportional to 1,200.97, 1,657.31 and 677.00 is: 934.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.97 : 1,657.31 = 677.00 : x
  2. Step 2: Convert to fraction form
    1,200.97/1,657.31 = 677.00/x
  3. Step 3: Cross multiply
    1,200.97x = 1,657.31 × 677.00
  4. Step 4: Simplify right side
    1,200.97x = 1,121,994.11
  5. Step 5: Solve for x
    x = 1,121,994.11/1,200.97
  6. Step 6: Final answer
    x = 934.24

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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.