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Finding the Fourth Proportional to 1,003.99, 1,506.12 and 310.71

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Solution

The fourth proportional to 1,003.99, 1,506.12 and 310.71 is: 466.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.99 : 1,506.12 = 310.71 : x
  2. Step 2: Convert to fraction form
    1,003.99/1,506.12 = 310.71/x
  3. Step 3: Cross multiply
    1,003.99x = 1,506.12 × 310.71
  4. Step 4: Simplify right side
    1,003.99x = 467,957.46
  5. Step 5: Solve for x
    x = 467,957.46/1,003.99
  6. Step 6: Final answer
    x = 466.10

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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.