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Finding the Fourth Proportional to 1,264.45, 1,897.36 and 826.14

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Solution

The fourth proportional to 1,264.45, 1,897.36 and 826.14 is: 1,239.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.45 : 1,897.36 = 826.14 : x
  2. Step 2: Convert to fraction form
    1,264.45/1,897.36 = 826.14/x
  3. Step 3: Cross multiply
    1,264.45x = 1,897.36 × 826.14
  4. Step 4: Simplify right side
    1,264.45x = 1,567,484.99
  5. Step 5: Solve for x
    x = 1,567,484.99/1,264.45
  6. Step 6: Final answer
    x = 1,239.66

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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.