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Finding the Fourth Proportional to 1,332.78, 1,999.17 and 358.98

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Solution

The fourth proportional to 1,332.78, 1,999.17 and 358.98 is: 538.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.78 : 1,999.17 = 358.98 : x
  2. Step 2: Convert to fraction form
    1,332.78/1,999.17 = 358.98/x
  3. Step 3: Cross multiply
    1,332.78x = 1,999.17 × 358.98
  4. Step 4: Simplify right side
    1,332.78x = 717,662.05
  5. Step 5: Solve for x
    x = 717,662.05/1,332.78
  6. Step 6: Final answer
    x = 538.47

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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.