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Finding the Fourth Proportional to 1,689.41, 2,331.59 and 990.78

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Solution

The fourth proportional to 1,689.41, 2,331.59 and 990.78 is: 1,367.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.41 : 2,331.59 = 990.78 : x
  2. Step 2: Convert to fraction form
    1,689.41/2,331.59 = 990.78/x
  3. Step 3: Cross multiply
    1,689.41x = 2,331.59 × 990.78
  4. Step 4: Simplify right side
    1,689.41x = 2,310,092.74
  5. Step 5: Solve for x
    x = 2,310,092.74/1,689.41
  6. Step 6: Final answer
    x = 1,367.40

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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.