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Finding the Fourth Proportional to 1,243.30, 1,716.45 and 778.18

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Solution

The fourth proportional to 1,243.30, 1,716.45 and 778.18 is: 1,074.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.30 : 1,716.45 = 778.18 : x
  2. Step 2: Convert to fraction form
    1,243.30/1,716.45 = 778.18/x
  3. Step 3: Cross multiply
    1,243.30x = 1,716.45 × 778.18
  4. Step 4: Simplify right side
    1,243.30x = 1,335,707.06
  5. Step 5: Solve for x
    x = 1,335,707.06/1,243.30
  6. Step 6: Final answer
    x = 1,074.32

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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.