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Finding the Fourth Proportional to 1,333.18, 1,999.50 and 359.29

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Solution

The fourth proportional to 1,333.18, 1,999.50 and 359.29 is: 538.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.18 : 1,999.50 = 359.29 : x
  2. Step 2: Convert to fraction form
    1,333.18/1,999.50 = 359.29/x
  3. Step 3: Cross multiply
    1,333.18x = 1,999.50 × 359.29
  4. Step 4: Simplify right side
    1,333.18x = 718,400.36
  5. Step 5: Solve for x
    x = 718,400.36/1,333.18
  6. Step 6: Final answer
    x = 538.86

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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.