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Finding the Fourth Proportional to 1,009.68, 1,384.28 and 991.20

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Solution

The fourth proportional to 1,009.68, 1,384.28 and 991.20 is: 1,358.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.68 : 1,384.28 = 991.20 : x
  2. Step 2: Convert to fraction form
    1,009.68/1,384.28 = 991.20/x
  3. Step 3: Cross multiply
    1,009.68x = 1,384.28 × 991.20
  4. Step 4: Simplify right side
    1,009.68x = 1,372,098.34
  5. Step 5: Solve for x
    x = 1,372,098.34/1,009.68
  6. Step 6: Final answer
    x = 1,358.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.