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Finding the Fourth Proportional to 783.47, 1,081.10 and 451.83

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Solution

The fourth proportional to 783.47, 1,081.10 and 451.83 is: 623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.47 : 1,081.10 = 451.83 : x
  2. Step 2: Convert to fraction form
    783.47/1,081.10 = 451.83/x
  3. Step 3: Cross multiply
    783.47x = 1,081.10 × 451.83
  4. Step 4: Simplify right side
    783.47x = 488,471.15
  5. Step 5: Solve for x
    x = 488,471.15/783.47
  6. Step 6: Final answer
    x = 623.48

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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.