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Finding the Fourth Proportional to 1,246.24, 1,720.12 and 805.28

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Solution

The fourth proportional to 1,246.24, 1,720.12 and 805.28 is: 1,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.24 : 1,720.12 = 805.28 : x
  2. Step 2: Convert to fraction form
    1,246.24/1,720.12 = 805.28/x
  3. Step 3: Cross multiply
    1,246.24x = 1,720.12 × 805.28
  4. Step 4: Simplify right side
    1,246.24x = 1,385,178.23
  5. Step 5: Solve for x
    x = 1,385,178.23/1,246.24
  6. Step 6: Final answer
    x = 1,111.49

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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.