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Finding the Fourth Proportional to 810.30, 1,119.78 and 613.47

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Solution

The fourth proportional to 810.30, 1,119.78 and 613.47 is: 847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.30 : 1,119.78 = 613.47 : x
  2. Step 2: Convert to fraction form
    810.30/1,119.78 = 613.47/x
  3. Step 3: Cross multiply
    810.30x = 1,119.78 × 613.47
  4. Step 4: Simplify right side
    810.30x = 686,951.44
  5. Step 5: Solve for x
    x = 686,951.44/810.30
  6. Step 6: Final answer
    x = 847.77

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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.