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Finding the Fourth Proportional to 925.33, 1,277.16 and 576.22

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Solution

The fourth proportional to 925.33, 1,277.16 and 576.22 is: 795.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.33 : 1,277.16 = 576.22 : x
  2. Step 2: Convert to fraction form
    925.33/1,277.16 = 576.22/x
  3. Step 3: Cross multiply
    925.33x = 1,277.16 × 576.22
  4. Step 4: Simplify right side
    925.33x = 735,925.14
  5. Step 5: Solve for x
    x = 735,925.14/925.33
  6. Step 6: Final answer
    x = 795.31

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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.