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Finding the Fourth Proportional to 948.15, 1,421.88 and 581.83

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Solution

The fourth proportional to 948.15, 1,421.88 and 581.83 is: 872.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.15 : 1,421.88 = 581.83 : x
  2. Step 2: Convert to fraction form
    948.15/1,421.88 = 581.83/x
  3. Step 3: Cross multiply
    948.15x = 1,421.88 × 581.83
  4. Step 4: Simplify right side
    948.15x = 827,292.44
  5. Step 5: Solve for x
    x = 827,292.44/948.15
  6. Step 6: Final answer
    x = 872.53

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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.