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Finding the Fourth Proportional to 946.99, 1,306.83 and 615.20

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Solution

The fourth proportional to 946.99, 1,306.83 and 615.20 is: 848.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.99 : 1,306.83 = 615.20 : x
  2. Step 2: Convert to fraction form
    946.99/1,306.83 = 615.20/x
  3. Step 3: Cross multiply
    946.99x = 1,306.83 × 615.20
  4. Step 4: Simplify right side
    946.99x = 803,957.59
  5. Step 5: Solve for x
    x = 803,957.59/946.99
  6. Step 6: Final answer
    x = 848.96

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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.