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Finding the Fourth Proportional to 1,138.50, 1,570.86 and 641.04

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Solution

The fourth proportional to 1,138.50, 1,570.86 and 641.04 is: 884.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.50 : 1,570.86 = 641.04 : x
  2. Step 2: Convert to fraction form
    1,138.50/1,570.86 = 641.04/x
  3. Step 3: Cross multiply
    1,138.50x = 1,570.86 × 641.04
  4. Step 4: Simplify right side
    1,138.50x = 1,006,984.09
  5. Step 5: Solve for x
    x = 1,006,984.09/1,138.50
  6. Step 6: Final answer
    x = 884.48

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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.