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Finding the Fourth Proportional to 819.34, 1,130.68 and 470

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Solution

The fourth proportional to 819.34, 1,130.68 and 470 is: 648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.34 : 1,130.68 = 470 : x
  2. Step 2: Convert to fraction form
    819.34/1,130.68 = 470/x
  3. Step 3: Cross multiply
    819.34x = 1,130.68 × 470
  4. Step 4: Simplify right side
    819.34x = 531,419.60
  5. Step 5: Solve for x
    x = 531,419.60/819.34
  6. Step 6: Final answer
    x = 648.59

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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.