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Finding the Fourth Proportional to 988.91, 1,365.09 and 657.23

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Solution

The fourth proportional to 988.91, 1,365.09 and 657.23 is: 907.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.91 : 1,365.09 = 657.23 : x
  2. Step 2: Convert to fraction form
    988.91/1,365.09 = 657.23/x
  3. Step 3: Cross multiply
    988.91x = 1,365.09 × 657.23
  4. Step 4: Simplify right side
    988.91x = 897,178.10
  5. Step 5: Solve for x
    x = 897,178.10/988.91
  6. Step 6: Final answer
    x = 907.24

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