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Finding the Fourth Proportional to 605.07, 912.16 and 585.93

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Solution

The fourth proportional to 605.07, 912.16 and 585.93 is: 883.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.07 : 912.16 = 585.93 : x
  2. Step 2: Convert to fraction form
    605.07/912.16 = 585.93/x
  3. Step 3: Cross multiply
    605.07x = 912.16 × 585.93
  4. Step 4: Simplify right side
    605.07x = 534,466.06
  5. Step 5: Solve for x
    x = 534,466.06/605.07
  6. Step 6: Final answer
    x = 883.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.