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Finding the Fourth Proportional to 946.48, 1,305.17 and 615.05

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Solution

The fourth proportional to 946.48, 1,305.17 and 615.05 is: 848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.48 : 1,305.17 = 615.05 : x
  2. Step 2: Convert to fraction form
    946.48/1,305.17 = 615.05/x
  3. Step 3: Cross multiply
    946.48x = 1,305.17 × 615.05
  4. Step 4: Simplify right side
    946.48x = 802,744.81
  5. Step 5: Solve for x
    x = 802,744.81/946.48
  6. Step 6: Final answer
    x = 848.14

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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.