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Finding the Fourth Proportional to 948.33, 1,306.80 and 922.86

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Solution

The fourth proportional to 948.33, 1,306.80 and 922.86 is: 1,271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.33 : 1,306.80 = 922.86 : x
  2. Step 2: Convert to fraction form
    948.33/1,306.80 = 922.86/x
  3. Step 3: Cross multiply
    948.33x = 1,306.80 × 922.86
  4. Step 4: Simplify right side
    948.33x = 1,205,993.45
  5. Step 5: Solve for x
    x = 1,205,993.45/948.33
  6. Step 6: Final answer
    x = 1,271.70

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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.