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Finding the Fourth Proportional to 976.29, 1,464.65 and 448.93

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Solution

The fourth proportional to 976.29, 1,464.65 and 448.93 is: 673.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.29 : 1,464.65 = 448.93 : x
  2. Step 2: Convert to fraction form
    976.29/1,464.65 = 448.93/x
  3. Step 3: Cross multiply
    976.29x = 1,464.65 × 448.93
  4. Step 4: Simplify right side
    976.29x = 657,525.32
  5. Step 5: Solve for x
    x = 657,525.32/976.29
  6. Step 6: Final answer
    x = 673.49

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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.