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Finding the Fourth Proportional to 783.86, 1,081.86 and 597.04

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Solution

The fourth proportional to 783.86, 1,081.86 and 597.04 is: 824.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.86 : 1,081.86 = 597.04 : x
  2. Step 2: Convert to fraction form
    783.86/1,081.86 = 597.04/x
  3. Step 3: Cross multiply
    783.86x = 1,081.86 × 597.04
  4. Step 4: Simplify right side
    783.86x = 645,913.69
  5. Step 5: Solve for x
    x = 645,913.69/783.86
  6. Step 6: Final answer
    x = 824.02

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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.