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Finding the Fourth Proportional to 988.93, 1,365.16 and 590.73

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Solution

The fourth proportional to 988.93, 1,365.16 and 590.73 is: 815.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.93 : 1,365.16 = 590.73 : x
  2. Step 2: Convert to fraction form
    988.93/1,365.16 = 590.73/x
  3. Step 3: Cross multiply
    988.93x = 1,365.16 × 590.73
  4. Step 4: Simplify right side
    988.93x = 806,439.49
  5. Step 5: Solve for x
    x = 806,439.49/988.93
  6. Step 6: Final answer
    x = 815.47

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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.