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Finding the Fourth Proportional to 662.86, 989.44 and 614

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Solution

The fourth proportional to 662.86, 989.44 and 614 is: 916.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.86 : 989.44 = 614 : x
  2. Step 2: Convert to fraction form
    662.86/989.44 = 614/x
  3. Step 3: Cross multiply
    662.86x = 989.44 × 614
  4. Step 4: Simplify right side
    662.86x = 607,516.16
  5. Step 5: Solve for x
    x = 607,516.16/662.86
  6. Step 6: Final answer
    x = 916.51

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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.