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Finding the Fourth Proportional to 1,232.75, 1,702.11 and 790.90

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Solution

The fourth proportional to 1,232.75, 1,702.11 and 790.90 is: 1,092.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.75 : 1,702.11 = 790.90 : x
  2. Step 2: Convert to fraction form
    1,232.75/1,702.11 = 790.90/x
  3. Step 3: Cross multiply
    1,232.75x = 1,702.11 × 790.90
  4. Step 4: Simplify right side
    1,232.75x = 1,346,197.51
  5. Step 5: Solve for x
    x = 1,346,197.51/1,232.75
  6. Step 6: Final answer
    x = 1,092.03

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Double scale
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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.