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Finding the Fourth Proportional to 1,441.38, 1,988.55 and 910.11

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Solution

The fourth proportional to 1,441.38, 1,988.55 and 910.11 is: 1,255.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.38 : 1,988.55 = 910.11 : x
  2. Step 2: Convert to fraction form
    1,441.38/1,988.55 = 910.11/x
  3. Step 3: Cross multiply
    1,441.38x = 1,988.55 × 910.11
  4. Step 4: Simplify right side
    1,441.38x = 1,809,799.24
  5. Step 5: Solve for x
    x = 1,809,799.24/1,441.38
  6. Step 6: Final answer
    x = 1,255.60

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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.