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Finding the Fourth Proportional to 758.87, 1,047.22 and 422.77

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Solution

The fourth proportional to 758.87, 1,047.22 and 422.77 is: 583.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.87 : 1,047.22 = 422.77 : x
  2. Step 2: Convert to fraction form
    758.87/1,047.22 = 422.77/x
  3. Step 3: Cross multiply
    758.87x = 1,047.22 × 422.77
  4. Step 4: Simplify right side
    758.87x = 442,725.85
  5. Step 5: Solve for x
    x = 442,725.85/758.87
  6. Step 6: Final answer
    x = 583.41

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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.