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Finding the Fourth Proportional to 783.46, 1,081.11 and 451.92

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Solution

The fourth proportional to 783.46, 1,081.11 and 451.92 is: 623.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.46 : 1,081.11 = 451.92 : x
  2. Step 2: Convert to fraction form
    783.46/1,081.11 = 451.92/x
  3. Step 3: Cross multiply
    783.46x = 1,081.11 × 451.92
  4. Step 4: Simplify right side
    783.46x = 488,575.23
  5. Step 5: Solve for x
    x = 488,575.23/783.46
  6. Step 6: Final answer
    x = 623.61

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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.