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Finding the Fourth Proportional to 870.18, 1,201.34 and 605

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Solution

The fourth proportional to 870.18, 1,201.34 and 605 is: 835.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.18 : 1,201.34 = 605 : x
  2. Step 2: Convert to fraction form
    870.18/1,201.34 = 605/x
  3. Step 3: Cross multiply
    870.18x = 1,201.34 × 605
  4. Step 4: Simplify right side
    870.18x = 726,810.70
  5. Step 5: Solve for x
    x = 726,810.70/870.18
  6. Step 6: Final answer
    x = 835.24

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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.