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Finding the Fourth Proportional to 1,333.65, 1,999.81 and 602.71

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Solution

The fourth proportional to 1,333.65, 1,999.81 and 602.71 is: 903.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.65 : 1,999.81 = 602.71 : x
  2. Step 2: Convert to fraction form
    1,333.65/1,999.81 = 602.71/x
  3. Step 3: Cross multiply
    1,333.65x = 1,999.81 × 602.71
  4. Step 4: Simplify right side
    1,333.65x = 1,205,305.49
  5. Step 5: Solve for x
    x = 1,205,305.49/1,333.65
  6. Step 6: Final answer
    x = 903.76

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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.