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Finding the Fourth Proportional to 1,247.49, 1,720.97 and 805.54

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Solution

The fourth proportional to 1,247.49, 1,720.97 and 805.54 is: 1,111.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.49 : 1,720.97 = 805.54 : x
  2. Step 2: Convert to fraction form
    1,247.49/1,720.97 = 805.54/x
  3. Step 3: Cross multiply
    1,247.49x = 1,720.97 × 805.54
  4. Step 4: Simplify right side
    1,247.49x = 1,386,310.17
  5. Step 5: Solve for x
    x = 1,386,310.17/1,247.49
  6. Step 6: Final answer
    x = 1,111.28

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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.