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Finding the Fourth Proportional to 778.02, 1,165.56 and 470.10

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Solution

The fourth proportional to 778.02, 1,165.56 and 470.10 is: 704.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.02 : 1,165.56 = 470.10 : x
  2. Step 2: Convert to fraction form
    778.02/1,165.56 = 470.10/x
  3. Step 3: Cross multiply
    778.02x = 1,165.56 × 470.10
  4. Step 4: Simplify right side
    778.02x = 547,929.76
  5. Step 5: Solve for x
    x = 547,929.76/778.02
  6. Step 6: Final answer
    x = 704.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.