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Finding the Fourth Proportional to 648.74, 976.96 and 584.50

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Solution

The fourth proportional to 648.74, 976.96 and 584.50 is: 880.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.74 : 976.96 = 584.50 : x
  2. Step 2: Convert to fraction form
    648.74/976.96 = 584.50/x
  3. Step 3: Cross multiply
    648.74x = 976.96 × 584.50
  4. Step 4: Simplify right side
    648.74x = 571,033.12
  5. Step 5: Solve for x
    x = 571,033.12/648.74
  6. Step 6: Final answer
    x = 880.22

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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.