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Finding the Fourth Proportional to 1,333.14, 1,999.80 and 359.28

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Solution

The fourth proportional to 1,333.14, 1,999.80 and 359.28 is: 538.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.14 : 1,999.80 = 359.28 : x
  2. Step 2: Convert to fraction form
    1,333.14/1,999.80 = 359.28/x
  3. Step 3: Cross multiply
    1,333.14x = 1,999.80 × 359.28
  4. Step 4: Simplify right side
    1,333.14x = 718,488.14
  5. Step 5: Solve for x
    x = 718,488.14/1,333.14
  6. Step 6: Final answer
    x = 538.94

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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.