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Finding the Fourth Proportional to 1,029.67, 1,420.95 and 563.92

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Solution

The fourth proportional to 1,029.67, 1,420.95 and 563.92 is: 778.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.67 : 1,420.95 = 563.92 : x
  2. Step 2: Convert to fraction form
    1,029.67/1,420.95 = 563.92/x
  3. Step 3: Cross multiply
    1,029.67x = 1,420.95 × 563.92
  4. Step 4: Simplify right side
    1,029.67x = 801,302.12
  5. Step 5: Solve for x
    x = 801,302.12/1,029.67
  6. Step 6: Final answer
    x = 778.21

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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.