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Finding the Fourth Proportional to 946.32, 1,419.72 and 452.64

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Solution

The fourth proportional to 946.32, 1,419.72 and 452.64 is: 679.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.32 : 1,419.72 = 452.64 : x
  2. Step 2: Convert to fraction form
    946.32/1,419.72 = 452.64/x
  3. Step 3: Cross multiply
    946.32x = 1,419.72 × 452.64
  4. Step 4: Simplify right side
    946.32x = 642,622.06
  5. Step 5: Solve for x
    x = 642,622.06/946.32
  6. Step 6: Final answer
    x = 679.07

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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.