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Finding the Fourth Proportional to 946.18, 1,417.44 and 773.04

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Solution

The fourth proportional to 946.18, 1,417.44 and 773.04 is: 1,158.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.18 : 1,417.44 = 773.04 : x
  2. Step 2: Convert to fraction form
    946.18/1,417.44 = 773.04/x
  3. Step 3: Cross multiply
    946.18x = 1,417.44 × 773.04
  4. Step 4: Simplify right side
    946.18x = 1,095,739.75
  5. Step 5: Solve for x
    x = 1,095,739.75/946.18
  6. Step 6: Final answer
    x = 1,158.07

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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.