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Finding the Fourth Proportional to 986.41, 1,480.13 and 929.68

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Solution

The fourth proportional to 986.41, 1,480.13 and 929.68 is: 1,395.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.41 : 1,480.13 = 929.68 : x
  2. Step 2: Convert to fraction form
    986.41/1,480.13 = 929.68/x
  3. Step 3: Cross multiply
    986.41x = 1,480.13 × 929.68
  4. Step 4: Simplify right side
    986.41x = 1,376,047.26
  5. Step 5: Solve for x
    x = 1,376,047.26/986.41
  6. Step 6: Final answer
    x = 1,395.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.