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Finding the Fourth Proportional to 605.85, 907.38 and 595.82

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Solution

The fourth proportional to 605.85, 907.38 and 595.82 is: 892.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.85 : 907.38 = 595.82 : x
  2. Step 2: Convert to fraction form
    605.85/907.38 = 595.82/x
  3. Step 3: Cross multiply
    605.85x = 907.38 × 595.82
  4. Step 4: Simplify right side
    605.85x = 540,630.61
  5. Step 5: Solve for x
    x = 540,630.61/605.85
  6. Step 6: Final answer
    x = 892.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.