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Finding the Fourth Proportional to 1,233.92, 1,702.77 and 674.37

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Solution

The fourth proportional to 1,233.92, 1,702.77 and 674.37 is: 930.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.92 : 1,702.77 = 674.37 : x
  2. Step 2: Convert to fraction form
    1,233.92/1,702.77 = 674.37/x
  3. Step 3: Cross multiply
    1,233.92x = 1,702.77 × 674.37
  4. Step 4: Simplify right side
    1,233.92x = 1,148,285.12
  5. Step 5: Solve for x
    x = 1,148,285.12/1,233.92
  6. Step 6: Final answer
    x = 930.60

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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.