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Finding the Fourth Proportional to 933.24, 1,398.49 and 412.77

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Solution

The fourth proportional to 933.24, 1,398.49 and 412.77 is: 618.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.24 : 1,398.49 = 412.77 : x
  2. Step 2: Convert to fraction form
    933.24/1,398.49 = 412.77/x
  3. Step 3: Cross multiply
    933.24x = 1,398.49 × 412.77
  4. Step 4: Simplify right side
    933.24x = 577,253.69
  5. Step 5: Solve for x
    x = 577,253.69/933.24
  6. Step 6: Final answer
    x = 618.55

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