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Finding the Fourth Proportional to 1,029.66, 1,420.93 and 563.91

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Solution

The fourth proportional to 1,029.66, 1,420.93 and 563.91 is: 778.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.66 : 1,420.93 = 563.91 : x
  2. Step 2: Convert to fraction form
    1,029.66/1,420.93 = 563.91/x
  3. Step 3: Cross multiply
    1,029.66x = 1,420.93 × 563.91
  4. Step 4: Simplify right side
    1,029.66x = 801,268.84
  5. Step 5: Solve for x
    x = 801,268.84/1,029.66
  6. Step 6: Final answer
    x = 778.19

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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.