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Finding the Fourth Proportional to 648.63, 971.36 and 586.23

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Solution

The fourth proportional to 648.63, 971.36 and 586.23 is: 877.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.63 : 971.36 = 586.23 : x
  2. Step 2: Convert to fraction form
    648.63/971.36 = 586.23/x
  3. Step 3: Cross multiply
    648.63x = 971.36 × 586.23
  4. Step 4: Simplify right side
    648.63x = 569,438.73
  5. Step 5: Solve for x
    x = 569,438.73/648.63
  6. Step 6: Final answer
    x = 877.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.