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Finding the Fourth Proportional to 804.30, 1,108.78 and 567.51

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Solution

The fourth proportional to 804.30, 1,108.78 and 567.51 is: 782.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.30 : 1,108.78 = 567.51 : x
  2. Step 2: Convert to fraction form
    804.30/1,108.78 = 567.51/x
  3. Step 3: Cross multiply
    804.30x = 1,108.78 × 567.51
  4. Step 4: Simplify right side
    804.30x = 629,243.74
  5. Step 5: Solve for x
    x = 629,243.74/804.30
  6. Step 6: Final answer
    x = 782.35

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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.