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Finding the Fourth Proportional to 976.88, 1,465.32 and 399.76

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Solution

The fourth proportional to 976.88, 1,465.32 and 399.76 is: 599.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.88 : 1,465.32 = 399.76 : x
  2. Step 2: Convert to fraction form
    976.88/1,465.32 = 399.76/x
  3. Step 3: Cross multiply
    976.88x = 1,465.32 × 399.76
  4. Step 4: Simplify right side
    976.88x = 585,776.32
  5. Step 5: Solve for x
    x = 585,776.32/976.88
  6. Step 6: Final answer
    x = 599.64

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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.