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Finding the Fourth Proportional to 991.86, 1,369.05 and 598.91

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Solution

The fourth proportional to 991.86, 1,369.05 and 598.91 is: 826.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.86 : 1,369.05 = 598.91 : x
  2. Step 2: Convert to fraction form
    991.86/1,369.05 = 598.91/x
  3. Step 3: Cross multiply
    991.86x = 1,369.05 × 598.91
  4. Step 4: Simplify right side
    991.86x = 819,937.74
  5. Step 5: Solve for x
    x = 819,937.74/991.86
  6. Step 6: Final answer
    x = 826.67

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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.