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Finding the Fourth Proportional to 933.16, 1,400.70 and 770.33

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Solution

The fourth proportional to 933.16, 1,400.70 and 770.33 is: 1,156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.16 : 1,400.70 = 770.33 : x
  2. Step 2: Convert to fraction form
    933.16/1,400.70 = 770.33/x
  3. Step 3: Cross multiply
    933.16x = 1,400.70 × 770.33
  4. Step 4: Simplify right side
    933.16x = 1,078,995.41
  5. Step 5: Solve for x
    x = 1,078,995.41/933.16
  6. Step 6: Final answer
    x = 1,156.28

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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.