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Finding the Fourth Proportional to 656.82, 980.15 and 584.10

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Solution

The fourth proportional to 656.82, 980.15 and 584.10 is: 871.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.82 : 980.15 = 584.10 : x
  2. Step 2: Convert to fraction form
    656.82/980.15 = 584.10/x
  3. Step 3: Cross multiply
    656.82x = 980.15 × 584.10
  4. Step 4: Simplify right side
    656.82x = 572,502.69
  5. Step 5: Solve for x
    x = 572,502.69/656.82
  6. Step 6: Final answer
    x = 871.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.