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Finding the Fourth Proportional to 1,029.08, 1,420.10 and 563.32

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Solution

The fourth proportional to 1,029.08, 1,420.10 and 563.32 is: 777.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.08 : 1,420.10 = 563.32 : x
  2. Step 2: Convert to fraction form
    1,029.08/1,420.10 = 563.32/x
  3. Step 3: Cross multiply
    1,029.08x = 1,420.10 × 563.32
  4. Step 4: Simplify right side
    1,029.08x = 799,970.73
  5. Step 5: Solve for x
    x = 799,970.73/1,029.08
  6. Step 6: Final answer
    x = 777.36

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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.