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Finding the Fourth Proportional to 819.57, 1,130.69 and 470.07

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Solution

The fourth proportional to 819.57, 1,130.69 and 470.07 is: 648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.57 : 1,130.69 = 470.07 : x
  2. Step 2: Convert to fraction form
    819.57/1,130.69 = 470.07/x
  3. Step 3: Cross multiply
    819.57x = 1,130.69 × 470.07
  4. Step 4: Simplify right side
    819.57x = 531,501.10
  5. Step 5: Solve for x
    x = 531,501.10/819.57
  6. Step 6: Final answer
    x = 648.51

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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.