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Finding the Fourth Proportional to 1,200.94, 1,657.35 and 676.97

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Solution

The fourth proportional to 1,200.94, 1,657.35 and 676.97 is: 934.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.94 : 1,657.35 = 676.97 : x
  2. Step 2: Convert to fraction form
    1,200.94/1,657.35 = 676.97/x
  3. Step 3: Cross multiply
    1,200.94x = 1,657.35 × 676.97
  4. Step 4: Simplify right side
    1,200.94x = 1,121,974.16
  5. Step 5: Solve for x
    x = 1,121,974.16/1,200.94
  6. Step 6: Final answer
    x = 934.25

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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.