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Finding the Fourth Proportional to 783.45, 1,081.16 and 451.87

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Solution

The fourth proportional to 783.45, 1,081.16 and 451.87 is: 623.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.45 : 1,081.16 = 451.87 : x
  2. Step 2: Convert to fraction form
    783.45/1,081.16 = 451.87/x
  3. Step 3: Cross multiply
    783.45x = 1,081.16 × 451.87
  4. Step 4: Simplify right side
    783.45x = 488,543.77
  5. Step 5: Solve for x
    x = 488,543.77/783.45
  6. Step 6: Final answer
    x = 623.58

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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.