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Finding the Fourth Proportional to 1,029.64, 1,420.86 and 563.86

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Solution

The fourth proportional to 1,029.64, 1,420.86 and 563.86 is: 778.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.64 : 1,420.86 = 563.86 : x
  2. Step 2: Convert to fraction form
    1,029.64/1,420.86 = 563.86/x
  3. Step 3: Cross multiply
    1,029.64x = 1,420.86 × 563.86
  4. Step 4: Simplify right side
    1,029.64x = 801,166.12
  5. Step 5: Solve for x
    x = 801,166.12/1,029.64
  6. Step 6: Final answer
    x = 778.10

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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.