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Finding the Fourth Proportional to 810.20, 1,215.06 and 648.20

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Solution

The fourth proportional to 810.20, 1,215.06 and 648.20 is: 972.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.20 : 1,215.06 = 648.20 : x
  2. Step 2: Convert to fraction form
    810.20/1,215.06 = 648.20/x
  3. Step 3: Cross multiply
    810.20x = 1,215.06 × 648.20
  4. Step 4: Simplify right side
    810.20x = 787,601.89
  5. Step 5: Solve for x
    x = 787,601.89/810.20
  6. Step 6: Final answer
    x = 972.11

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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.