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Finding the Fourth Proportional to 1,048.03, 1,446.13 and 599.95

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Solution

The fourth proportional to 1,048.03, 1,446.13 and 599.95 is: 827.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.03 : 1,446.13 = 599.95 : x
  2. Step 2: Convert to fraction form
    1,048.03/1,446.13 = 599.95/x
  3. Step 3: Cross multiply
    1,048.03x = 1,446.13 × 599.95
  4. Step 4: Simplify right side
    1,048.03x = 867,605.69
  5. Step 5: Solve for x
    x = 867,605.69/1,048.03
  6. Step 6: Final answer
    x = 827.84

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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.