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Finding the Fourth Proportional to 985.18, 1,477.76 and 254.77

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Solution

The fourth proportional to 985.18, 1,477.76 and 254.77 is: 382.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.18 : 1,477.76 = 254.77 : x
  2. Step 2: Convert to fraction form
    985.18/1,477.76 = 254.77/x
  3. Step 3: Cross multiply
    985.18x = 1,477.76 × 254.77
  4. Step 4: Simplify right side
    985.18x = 376,480.25
  5. Step 5: Solve for x
    x = 376,480.25/985.18
  6. Step 6: Final answer
    x = 382.15

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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.