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Finding the Fourth Proportional to 1,162.47, 1,604.14 and 638.46

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Solution

The fourth proportional to 1,162.47, 1,604.14 and 638.46 is: 881.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.47 : 1,604.14 = 638.46 : x
  2. Step 2: Convert to fraction form
    1,162.47/1,604.14 = 638.46/x
  3. Step 3: Cross multiply
    1,162.47x = 1,604.14 × 638.46
  4. Step 4: Simplify right side
    1,162.47x = 1,024,179.22
  5. Step 5: Solve for x
    x = 1,024,179.22/1,162.47
  6. Step 6: Final answer
    x = 881.04

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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.