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Finding the Fourth Proportional to 976.78, 1,464.63 and 398.98

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Solution

The fourth proportional to 976.78, 1,464.63 and 398.98 is: 598.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.78 : 1,464.63 = 398.98 : x
  2. Step 2: Convert to fraction form
    976.78/1,464.63 = 398.98/x
  3. Step 3: Cross multiply
    976.78x = 1,464.63 × 398.98
  4. Step 4: Simplify right side
    976.78x = 584,358.08
  5. Step 5: Solve for x
    x = 584,358.08/976.78
  6. Step 6: Final answer
    x = 598.25

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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.