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Finding the Fourth Proportional to 783.45, 1,081.52 and 596.96

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Solution

The fourth proportional to 783.45, 1,081.52 and 596.96 is: 824.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.45 : 1,081.52 = 596.96 : x
  2. Step 2: Convert to fraction form
    783.45/1,081.52 = 596.96/x
  3. Step 3: Cross multiply
    783.45x = 1,081.52 × 596.96
  4. Step 4: Simplify right side
    783.45x = 645,615.79
  5. Step 5: Solve for x
    x = 645,615.79/783.45
  6. Step 6: Final answer
    x = 824.07

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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.