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Finding the Fourth Proportional to 1,048.97, 1,573.86 and 400.16

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Solution

The fourth proportional to 1,048.97, 1,573.86 and 400.16 is: 600.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.97 : 1,573.86 = 400.16 : x
  2. Step 2: Convert to fraction form
    1,048.97/1,573.86 = 400.16/x
  3. Step 3: Cross multiply
    1,048.97x = 1,573.86 × 400.16
  4. Step 4: Simplify right side
    1,048.97x = 629,787.95
  5. Step 5: Solve for x
    x = 629,787.95/1,048.97
  6. Step 6: Final answer
    x = 600.39

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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.