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Finding the Fourth Proportional to 1,003.66, 1,504.93 and 310.13

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Solution

The fourth proportional to 1,003.66, 1,504.93 and 310.13 is: 465.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.66 : 1,504.93 = 310.13 : x
  2. Step 2: Convert to fraction form
    1,003.66/1,504.93 = 310.13/x
  3. Step 3: Cross multiply
    1,003.66x = 1,504.93 × 310.13
  4. Step 4: Simplify right side
    1,003.66x = 466,722.39
  5. Step 5: Solve for x
    x = 466,722.39/1,003.66
  6. Step 6: Final answer
    x = 465.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.