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Finding the Fourth Proportional to 985.38, 1,476.78 and 465.30

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Solution

The fourth proportional to 985.38, 1,476.78 and 465.30 is: 697.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.38 : 1,476.78 = 465.30 : x
  2. Step 2: Convert to fraction form
    985.38/1,476.78 = 465.30/x
  3. Step 3: Cross multiply
    985.38x = 1,476.78 × 465.30
  4. Step 4: Simplify right side
    985.38x = 687,145.73
  5. Step 5: Solve for x
    x = 687,145.73/985.38
  6. Step 6: Final answer
    x = 697.34

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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.