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Finding the Fourth Proportional to 934.80, 1,400.16 and 770.64

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Solution

The fourth proportional to 934.80, 1,400.16 and 770.64 is: 1,154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.80 : 1,400.16 = 770.64 : x
  2. Step 2: Convert to fraction form
    934.80/1,400.16 = 770.64/x
  3. Step 3: Cross multiply
    934.80x = 1,400.16 × 770.64
  4. Step 4: Simplify right side
    934.80x = 1,079,019.30
  5. Step 5: Solve for x
    x = 1,079,019.30/934.80
  6. Step 6: Final answer
    x = 1,154.28

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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.