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Finding the Fourth Proportional to 612.75, 844.07 and 567.90

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Solution

The fourth proportional to 612.75, 844.07 and 567.90 is: 782.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.75 : 844.07 = 567.90 : x
  2. Step 2: Convert to fraction form
    612.75/844.07 = 567.90/x
  3. Step 3: Cross multiply
    612.75x = 844.07 × 567.90
  4. Step 4: Simplify right side
    612.75x = 479,344.51
  5. Step 5: Solve for x
    x = 479,344.51/612.75
  6. Step 6: Final answer
    x = 782.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.