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Finding the Fourth Proportional to 948.92, 1,421.98 and 461.42

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Solution

The fourth proportional to 948.92, 1,421.98 and 461.42 is: 691.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.92 : 1,421.98 = 461.42 : x
  2. Step 2: Convert to fraction form
    948.92/1,421.98 = 461.42/x
  3. Step 3: Cross multiply
    948.92x = 1,421.98 × 461.42
  4. Step 4: Simplify right side
    948.92x = 656,130.01
  5. Step 5: Solve for x
    x = 656,130.01/948.92
  6. Step 6: Final answer
    x = 691.45

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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.