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Finding the Fourth Proportional to 1,029.75, 1,421.07 and 564

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Solution

The fourth proportional to 1,029.75, 1,421.07 and 564 is: 778.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.75 : 1,421.07 = 564 : x
  2. Step 2: Convert to fraction form
    1,029.75/1,421.07 = 564/x
  3. Step 3: Cross multiply
    1,029.75x = 1,421.07 × 564
  4. Step 4: Simplify right side
    1,029.75x = 801,483.48
  5. Step 5: Solve for x
    x = 801,483.48/1,029.75
  6. Step 6: Final answer
    x = 778.33

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Why These Related Problems?

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