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Finding the Fourth Proportional to 656.36, 983.37 and 584.85

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Solution

The fourth proportional to 656.36, 983.37 and 584.85 is: 876.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.36 : 983.37 = 584.85 : x
  2. Step 2: Convert to fraction form
    656.36/983.37 = 584.85/x
  3. Step 3: Cross multiply
    656.36x = 983.37 × 584.85
  4. Step 4: Simplify right side
    656.36x = 575,123.94
  5. Step 5: Solve for x
    x = 575,123.94/656.36
  6. Step 6: Final answer
    x = 876.24

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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.