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Finding the Fourth Proportional to 925.36, 1,386.49 and 650.96

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Solution

The fourth proportional to 925.36, 1,386.49 and 650.96 is: 975.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.36 : 1,386.49 = 650.96 : x
  2. Step 2: Convert to fraction form
    925.36/1,386.49 = 650.96/x
  3. Step 3: Cross multiply
    925.36x = 1,386.49 × 650.96
  4. Step 4: Simplify right side
    925.36x = 902,549.53
  5. Step 5: Solve for x
    x = 902,549.53/925.36
  6. Step 6: Final answer
    x = 975.35

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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.