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Finding the Fourth Proportional to 1,233.31, 1,702.68 and 920.30

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Solution

The fourth proportional to 1,233.31, 1,702.68 and 920.30 is: 1,270.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.31 : 1,702.68 = 920.30 : x
  2. Step 2: Convert to fraction form
    1,233.31/1,702.68 = 920.30/x
  3. Step 3: Cross multiply
    1,233.31x = 1,702.68 × 920.30
  4. Step 4: Simplify right side
    1,233.31x = 1,566,976.40
  5. Step 5: Solve for x
    x = 1,566,976.40/1,233.31
  6. Step 6: Final answer
    x = 1,270.55

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1.5x scale

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.