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Finding the Fourth Proportional to 952.78, 1,314.20 and 603.94

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Solution

The fourth proportional to 952.78, 1,314.20 and 603.94 is: 833.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.78 : 1,314.20 = 603.94 : x
  2. Step 2: Convert to fraction form
    952.78/1,314.20 = 603.94/x
  3. Step 3: Cross multiply
    952.78x = 1,314.20 × 603.94
  4. Step 4: Simplify right side
    952.78x = 793,697.95
  5. Step 5: Solve for x
    x = 793,697.95/952.78
  6. Step 6: Final answer
    x = 833.03

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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.