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Finding the Fourth Proportional to 946.69, 1,305.60 and 615.23

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Solution

The fourth proportional to 946.69, 1,305.60 and 615.23 is: 848.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.69 : 1,305.60 = 615.23 : x
  2. Step 2: Convert to fraction form
    946.69/1,305.60 = 615.23/x
  3. Step 3: Cross multiply
    946.69x = 1,305.60 × 615.23
  4. Step 4: Simplify right side
    946.69x = 803,245.24
  5. Step 5: Solve for x
    x = 803,245.24/946.69
  6. Step 6: Final answer
    x = 848.48

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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.