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Finding the Fourth Proportional to 982.50, 1,356.69 and 687.93

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Solution

The fourth proportional to 982.50, 1,356.69 and 687.93 is: 949.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.50 : 1,356.69 = 687.93 : x
  2. Step 2: Convert to fraction form
    982.50/1,356.69 = 687.93/x
  3. Step 3: Cross multiply
    982.50x = 1,356.69 × 687.93
  4. Step 4: Simplify right side
    982.50x = 933,307.75
  5. Step 5: Solve for x
    x = 933,307.75/982.50
  6. Step 6: Final answer
    x = 949.93

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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.