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Finding the Fourth Proportional to 794.16, 1,185.48 and 737.10

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Solution

The fourth proportional to 794.16, 1,185.48 and 737.10 is: 1,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.16 : 1,185.48 = 737.10 : x
  2. Step 2: Convert to fraction form
    794.16/1,185.48 = 737.10/x
  3. Step 3: Cross multiply
    794.16x = 1,185.48 × 737.10
  4. Step 4: Simplify right side
    794.16x = 873,817.31
  5. Step 5: Solve for x
    x = 873,817.31/794.16
  6. Step 6: Final answer
    x = 1,100.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.