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Finding the Fourth Proportional to 1,329.46, 1,992.45 and 588.82

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Solution

The fourth proportional to 1,329.46, 1,992.45 and 588.82 is: 882.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.46 : 1,992.45 = 588.82 : x
  2. Step 2: Convert to fraction form
    1,329.46/1,992.45 = 588.82/x
  3. Step 3: Cross multiply
    1,329.46x = 1,992.45 × 588.82
  4. Step 4: Simplify right side
    1,329.46x = 1,173,192.06
  5. Step 5: Solve for x
    x = 1,173,192.06/1,329.46
  6. Step 6: Final answer
    x = 882.46

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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.