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Finding the Fourth Proportional to 1,478.10, 2,039.34 and 888.42

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Solution

The fourth proportional to 1,478.10, 2,039.34 and 888.42 is: 1,225.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.10 : 2,039.34 = 888.42 : x
  2. Step 2: Convert to fraction form
    1,478.10/2,039.34 = 888.42/x
  3. Step 3: Cross multiply
    1,478.10x = 2,039.34 × 888.42
  4. Step 4: Simplify right side
    1,478.10x = 1,811,790.44
  5. Step 5: Solve for x
    x = 1,811,790.44/1,478.10
  6. Step 6: Final answer
    x = 1,225.76

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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.