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Finding the Fourth Proportional to 987.21, 1,480.73 and 256.77

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Solution

The fourth proportional to 987.21, 1,480.73 and 256.77 is: 385.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.21 : 1,480.73 = 256.77 : x
  2. Step 2: Convert to fraction form
    987.21/1,480.73 = 256.77/x
  3. Step 3: Cross multiply
    987.21x = 1,480.73 × 256.77
  4. Step 4: Simplify right side
    987.21x = 380,205.76
  5. Step 5: Solve for x
    x = 380,205.76/987.21
  6. Step 6: Final answer
    x = 385.13

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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.