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Finding the Fourth Proportional to 819.32, 1,130.65 and 470

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Solution

The fourth proportional to 819.32, 1,130.65 and 470 is: 648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.32 : 1,130.65 = 470 : x
  2. Step 2: Convert to fraction form
    819.32/1,130.65 = 470/x
  3. Step 3: Cross multiply
    819.32x = 1,130.65 × 470
  4. Step 4: Simplify right side
    819.32x = 531,405.50
  5. Step 5: Solve for x
    x = 531,405.50/819.32
  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.