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Finding the Fourth Proportional to 1,048.99, 1,447.53 and 576.82

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Solution

The fourth proportional to 1,048.99, 1,447.53 and 576.82 is: 795.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.99 : 1,447.53 = 576.82 : x
  2. Step 2: Convert to fraction form
    1,048.99/1,447.53 = 576.82/x
  3. Step 3: Cross multiply
    1,048.99x = 1,447.53 × 576.82
  4. Step 4: Simplify right side
    1,048.99x = 834,964.25
  5. Step 5: Solve for x
    x = 834,964.25/1,048.99
  6. Step 6: Final answer
    x = 795.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.