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Finding the Fourth Proportional to 870.39, 1,297.10 and 844.03

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Solution

The fourth proportional to 870.39, 1,297.10 and 844.03 is: 1,257.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.39 : 1,297.10 = 844.03 : x
  2. Step 2: Convert to fraction form
    870.39/1,297.10 = 844.03/x
  3. Step 3: Cross multiply
    870.39x = 1,297.10 × 844.03
  4. Step 4: Simplify right side
    870.39x = 1,094,791.31
  5. Step 5: Solve for x
    x = 1,094,791.31/870.39
  6. Step 6: Final answer
    x = 1,257.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.