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Finding the Fourth Proportional to 982, 1,355.16 and 614

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Solution

The fourth proportional to 982, 1,355.16 and 614 is: 847.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    982 : 1,355.16 = 614 : x
  2. Step 2: Convert to fraction form
    982/1,355.16 = 614/x
  3. Step 3: Cross multiply
    982x = 1,355.16 × 614
  4. Step 4: Simplify right side
    982x = 832,068.24
  5. Step 5: Solve for x
    x = 832,068.24/982
  6. Step 6: Final answer
    x = 847.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.