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Finding the Fourth Proportional to 948.49, 1,309.01 and 575.44

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Solution

The fourth proportional to 948.49, 1,309.01 and 575.44 is: 794.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.49 : 1,309.01 = 575.44 : x
  2. Step 2: Convert to fraction form
    948.49/1,309.01 = 575.44/x
  3. Step 3: Cross multiply
    948.49x = 1,309.01 × 575.44
  4. Step 4: Simplify right side
    948.49x = 753,258.71
  5. Step 5: Solve for x
    x = 753,258.71/948.49
  6. Step 6: Final answer
    x = 794.17

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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.