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Finding the Fourth Proportional to 1,071.27, 1,604.75 and 638.19

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Solution

The fourth proportional to 1,071.27, 1,604.75 and 638.19 is: 956.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.27 : 1,604.75 = 638.19 : x
  2. Step 2: Convert to fraction form
    1,071.27/1,604.75 = 638.19/x
  3. Step 3: Cross multiply
    1,071.27x = 1,604.75 × 638.19
  4. Step 4: Simplify right side
    1,071.27x = 1,024,132.21
  5. Step 5: Solve for x
    x = 1,024,132.21/1,071.27
  6. Step 6: Final answer
    x = 956.00

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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.