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Finding the Fourth Proportional to 982.66, 1,356.57 and 929.06

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Solution

The fourth proportional to 982.66, 1,356.57 and 929.06 is: 1,282.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.66 : 1,356.57 = 929.06 : x
  2. Step 2: Convert to fraction form
    982.66/1,356.57 = 929.06/x
  3. Step 3: Cross multiply
    982.66x = 1,356.57 × 929.06
  4. Step 4: Simplify right side
    982.66x = 1,260,334.92
  5. Step 5: Solve for x
    x = 1,260,334.92/982.66
  6. Step 6: Final answer
    x = 1,282.57

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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.