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Finding the Fourth Proportional to 654.24, 980.88 and 564

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Solution

The fourth proportional to 654.24, 980.88 and 564 is: 845.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.24 : 980.88 = 564 : x
  2. Step 2: Convert to fraction form
    654.24/980.88 = 564/x
  3. Step 3: Cross multiply
    654.24x = 980.88 × 564
  4. Step 4: Simplify right side
    654.24x = 553,216.32
  5. Step 5: Solve for x
    x = 553,216.32/654.24
  6. Step 6: Final answer
    x = 845.59

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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.