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Finding the Fourth Proportional to 933.12, 1,296.36 and 924.66

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Solution

The fourth proportional to 933.12, 1,296.36 and 924.66 is: 1,284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.12 : 1,296.36 = 924.66 : x
  2. Step 2: Convert to fraction form
    933.12/1,296.36 = 924.66/x
  3. Step 3: Cross multiply
    933.12x = 1,296.36 × 924.66
  4. Step 4: Simplify right side
    933.12x = 1,198,692.24
  5. Step 5: Solve for x
    x = 1,198,692.24/933.12
  6. Step 6: Final answer
    x = 1,284.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.