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Finding the Fourth Proportional to 652.84, 980.34 and 583.54

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Solution

The fourth proportional to 652.84, 980.34 and 583.54 is: 876.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.84 : 980.34 = 583.54 : x
  2. Step 2: Convert to fraction form
    652.84/980.34 = 583.54/x
  3. Step 3: Cross multiply
    652.84x = 980.34 × 583.54
  4. Step 4: Simplify right side
    652.84x = 572,067.60
  5. Step 5: Solve for x
    x = 572,067.60/652.84
  6. Step 6: Final answer
    x = 876.28

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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.