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Finding the Fourth Proportional to 983.60, 1,358 and 610.98

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Solution

The fourth proportional to 983.60, 1,358 and 610.98 is: 843.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.60 : 1,358 = 610.98 : x
  2. Step 2: Convert to fraction form
    983.60/1,358 = 610.98/x
  3. Step 3: Cross multiply
    983.60x = 1,358 × 610.98
  4. Step 4: Simplify right side
    983.60x = 829,710.84
  5. Step 5: Solve for x
    x = 829,710.84/983.60
  6. Step 6: Final answer
    x = 843.54

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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.