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Finding the Fourth Proportional to 1,256.13, 1,886.31 and 818.12

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Solution

The fourth proportional to 1,256.13, 1,886.31 and 818.12 is: 1,228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.13 : 1,886.31 = 818.12 : x
  2. Step 2: Convert to fraction form
    1,256.13/1,886.31 = 818.12/x
  3. Step 3: Cross multiply
    1,256.13x = 1,886.31 × 818.12
  4. Step 4: Simplify right side
    1,256.13x = 1,543,226.29
  5. Step 5: Solve for x
    x = 1,543,226.29/1,256.13
  6. Step 6: Final answer
    x = 1,228.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.