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Finding the Fourth Proportional to 992.05, 1,368.60 and 598.86

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Solution

The fourth proportional to 992.05, 1,368.60 and 598.86 is: 826.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.05 : 1,368.60 = 598.86 : x
  2. Step 2: Convert to fraction form
    992.05/1,368.60 = 598.86/x
  3. Step 3: Cross multiply
    992.05x = 1,368.60 × 598.86
  4. Step 4: Simplify right side
    992.05x = 819,599.80
  5. Step 5: Solve for x
    x = 819,599.80/992.05
  6. Step 6: Final answer
    x = 826.17

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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.