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Finding the Fourth Proportional to 946.59, 1,420.35 and 618.17

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Solution

The fourth proportional to 946.59, 1,420.35 and 618.17 is: 927.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.59 : 1,420.35 = 618.17 : x
  2. Step 2: Convert to fraction form
    946.59/1,420.35 = 618.17/x
  3. Step 3: Cross multiply
    946.59x = 1,420.35 × 618.17
  4. Step 4: Simplify right side
    946.59x = 878,017.76
  5. Step 5: Solve for x
    x = 878,017.76/946.59
  6. Step 6: Final answer
    x = 927.56

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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.