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Finding the Fourth Proportional to 934.53, 1,408.13 and 775.77

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Solution

The fourth proportional to 934.53, 1,408.13 and 775.77 is: 1,168.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.53 : 1,408.13 = 775.77 : x
  2. Step 2: Convert to fraction form
    934.53/1,408.13 = 775.77/x
  3. Step 3: Cross multiply
    934.53x = 1,408.13 × 775.77
  4. Step 4: Simplify right side
    934.53x = 1,092,385.01
  5. Step 5: Solve for x
    x = 1,092,385.01/934.53
  6. Step 6: Final answer
    x = 1,168.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.