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Finding the Fourth Proportional to 937.44, 1,296 and 704.16

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Solution

The fourth proportional to 937.44, 1,296 and 704.16 is: 973.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.44 : 1,296 = 704.16 : x
  2. Step 2: Convert to fraction form
    937.44/1,296 = 704.16/x
  3. Step 3: Cross multiply
    937.44x = 1,296 × 704.16
  4. Step 4: Simplify right side
    937.44x = 912,591.36
  5. Step 5: Solve for x
    x = 912,591.36/937.44
  6. Step 6: Final answer
    x = 973.49

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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.