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Finding the Fourth Proportional to 870.96, 1,305.48 and 414

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Solution

The fourth proportional to 870.96, 1,305.48 and 414 is: 620.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.96 : 1,305.48 = 414 : x
  2. Step 2: Convert to fraction form
    870.96/1,305.48 = 414/x
  3. Step 3: Cross multiply
    870.96x = 1,305.48 × 414
  4. Step 4: Simplify right side
    870.96x = 540,468.72
  5. Step 5: Solve for x
    x = 540,468.72/870.96
  6. Step 6: Final answer
    x = 620.54

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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.