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Finding the Fourth Proportional to 998.64, 1,498.28 and 588.16

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Solution

The fourth proportional to 998.64, 1,498.28 and 588.16 is: 882.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.64 : 1,498.28 = 588.16 : x
  2. Step 2: Convert to fraction form
    998.64/1,498.28 = 588.16/x
  3. Step 3: Cross multiply
    998.64x = 1,498.28 × 588.16
  4. Step 4: Simplify right side
    998.64x = 881,228.36
  5. Step 5: Solve for x
    x = 881,228.36/998.64
  6. Step 6: Final answer
    x = 882.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.