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Finding the Fourth Proportional to 992.89, 1,370.82 and 730.45

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Solution

The fourth proportional to 992.89, 1,370.82 and 730.45 is: 1,008.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.89 : 1,370.82 = 730.45 : x
  2. Step 2: Convert to fraction form
    992.89/1,370.82 = 730.45/x
  3. Step 3: Cross multiply
    992.89x = 1,370.82 × 730.45
  4. Step 4: Simplify right side
    992.89x = 1,001,315.47
  5. Step 5: Solve for x
    x = 1,001,315.47/992.89
  6. Step 6: Final answer
    x = 1,008.49

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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.