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Finding the Fourth Proportional to 986.71, 1,480.50 and 524.38

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Solution

The fourth proportional to 986.71, 1,480.50 and 524.38 is: 786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.71 : 1,480.50 = 524.38 : x
  2. Step 2: Convert to fraction form
    986.71/1,480.50 = 524.38/x
  3. Step 3: Cross multiply
    986.71x = 1,480.50 × 524.38
  4. Step 4: Simplify right side
    986.71x = 776,340.89
  5. Step 5: Solve for x
    x = 776,340.89/986.71
  6. Step 6: Final answer
    x = 786.80

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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.