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Finding the Fourth Proportional to 937.53, 1,292.97 and 564.37

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Solution

The fourth proportional to 937.53, 1,292.97 and 564.37 is: 778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.53 : 1,292.97 = 564.37 : x
  2. Step 2: Convert to fraction form
    937.53/1,292.97 = 564.37/x
  3. Step 3: Cross multiply
    937.53x = 1,292.97 × 564.37
  4. Step 4: Simplify right side
    937.53x = 729,713.48
  5. Step 5: Solve for x
    x = 729,713.48/937.53
  6. Step 6: Final answer
    x = 778.34

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1.5x scale

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.