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Finding the Fourth Proportional to 1,236.20, 1,707.74 and 987.20

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Solution

The fourth proportional to 1,236.20, 1,707.74 and 987.20 is: 1,363.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.20 : 1,707.74 = 987.20 : x
  2. Step 2: Convert to fraction form
    1,236.20/1,707.74 = 987.20/x
  3. Step 3: Cross multiply
    1,236.20x = 1,707.74 × 987.20
  4. Step 4: Simplify right side
    1,236.20x = 1,685,874.86
  5. Step 5: Solve for x
    x = 1,685,874.86/1,236.20
  6. Step 6: Final answer
    x = 1,363.75

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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.