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Finding the Fourth Proportional to 870.54, 1,305.78 and 408.25

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Solution

The fourth proportional to 870.54, 1,305.78 and 408.25 is: 612.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.54 : 1,305.78 = 408.25 : x
  2. Step 2: Convert to fraction form
    870.54/1,305.78 = 408.25/x
  3. Step 3: Cross multiply
    870.54x = 1,305.78 × 408.25
  4. Step 4: Simplify right side
    870.54x = 533,084.69
  5. Step 5: Solve for x
    x = 533,084.69/870.54
  6. Step 6: Final answer
    x = 612.36

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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.