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Finding the Fourth Proportional to 1,000.56, 1,498.40 and 826.16

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Solution

The fourth proportional to 1,000.56, 1,498.40 and 826.16 is: 1,237.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.56 : 1,498.40 = 826.16 : x
  2. Step 2: Convert to fraction form
    1,000.56/1,498.40 = 826.16/x
  3. Step 3: Cross multiply
    1,000.56x = 1,498.40 × 826.16
  4. Step 4: Simplify right side
    1,000.56x = 1,237,918.14
  5. Step 5: Solve for x
    x = 1,237,918.14/1,000.56
  6. Step 6: Final answer
    x = 1,237.23

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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.