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Finding the Fourth Proportional to 1,048.97, 1,572.70 and 493.37

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Solution

The fourth proportional to 1,048.97, 1,572.70 and 493.37 is: 739.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.97 : 1,572.70 = 493.37 : x
  2. Step 2: Convert to fraction form
    1,048.97/1,572.70 = 493.37/x
  3. Step 3: Cross multiply
    1,048.97x = 1,572.70 × 493.37
  4. Step 4: Simplify right side
    1,048.97x = 775,913.90
  5. Step 5: Solve for x
    x = 775,913.90/1,048.97
  6. Step 6: Final answer
    x = 739.69

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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.