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Finding the Fourth Proportional to 648.88, 977.76 and 579.04

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Solution

The fourth proportional to 648.88, 977.76 and 579.04 is: 872.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.88 : 977.76 = 579.04 : x
  2. Step 2: Convert to fraction form
    648.88/977.76 = 579.04/x
  3. Step 3: Cross multiply
    648.88x = 977.76 × 579.04
  4. Step 4: Simplify right side
    648.88x = 566,162.15
  5. Step 5: Solve for x
    x = 566,162.15/648.88
  6. Step 6: Final answer
    x = 872.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.