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Finding the Fourth Proportional to 934.02, 1,399.70 and 738.16

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Solution

The fourth proportional to 934.02, 1,399.70 and 738.16 is: 1,106.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.02 : 1,399.70 = 738.16 : x
  2. Step 2: Convert to fraction form
    934.02/1,399.70 = 738.16/x
  3. Step 3: Cross multiply
    934.02x = 1,399.70 × 738.16
  4. Step 4: Simplify right side
    934.02x = 1,033,200.90
  5. Step 5: Solve for x
    x = 1,033,200.90/934.02
  6. Step 6: Final answer
    x = 1,106.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.