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Finding the Fourth Proportional to 973.20, 1,342.54 and 600.02

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Solution

The fourth proportional to 973.20, 1,342.54 and 600.02 is: 827.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.20 : 1,342.54 = 600.02 : x
  2. Step 2: Convert to fraction form
    973.20/1,342.54 = 600.02/x
  3. Step 3: Cross multiply
    973.20x = 1,342.54 × 600.02
  4. Step 4: Simplify right side
    973.20x = 805,550.85
  5. Step 5: Solve for x
    x = 805,550.85/973.20
  6. Step 6: Final answer
    x = 827.73

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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.