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Finding the Fourth Proportional to 684.88, 946.18 and 553.66

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Solution

The fourth proportional to 684.88, 946.18 and 553.66 is: 764.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.88 : 946.18 = 553.66 : x
  2. Step 2: Convert to fraction form
    684.88/946.18 = 553.66/x
  3. Step 3: Cross multiply
    684.88x = 946.18 × 553.66
  4. Step 4: Simplify right side
    684.88x = 523,862.02
  5. Step 5: Solve for x
    x = 523,862.02/684.88
  6. Step 6: Final answer
    x = 764.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.