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Finding the Fourth Proportional to 952, 1,313.76 and 538

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Solution

The fourth proportional to 952, 1,313.76 and 538 is: 742.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    952 : 1,313.76 = 538 : x
  2. Step 2: Convert to fraction form
    952/1,313.76 = 538/x
  3. Step 3: Cross multiply
    952x = 1,313.76 × 538
  4. Step 4: Simplify right side
    952x = 706,802.88
  5. Step 5: Solve for x
    x = 706,802.88/952
  6. Step 6: Final answer
    x = 742.44

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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.