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Finding the Fourth Proportional to 948.13, 1,308.41 and 534.13

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Solution

The fourth proportional to 948.13, 1,308.41 and 534.13 is: 737.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.13 : 1,308.41 = 534.13 : x
  2. Step 2: Convert to fraction form
    948.13/1,308.41 = 534.13/x
  3. Step 3: Cross multiply
    948.13x = 1,308.41 × 534.13
  4. Step 4: Simplify right side
    948.13x = 698,861.03
  5. Step 5: Solve for x
    x = 698,861.03/948.13
  6. Step 6: Final answer
    x = 737.09

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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.