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Finding the Fourth Proportional to 992.85, 1,370.07 and 594.50

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Solution

The fourth proportional to 992.85, 1,370.07 and 594.50 is: 820.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.85 : 1,370.07 = 594.50 : x
  2. Step 2: Convert to fraction form
    992.85/1,370.07 = 594.50/x
  3. Step 3: Cross multiply
    992.85x = 1,370.07 × 594.50
  4. Step 4: Simplify right side
    992.85x = 814,499.76
  5. Step 5: Solve for x
    x = 814,499.76/992.85
  6. Step 6: Final answer
    x = 820.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.