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Finding the Fourth Proportional to 730.95, 1,010.24 and 585.15

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Solution

The fourth proportional to 730.95, 1,010.24 and 585.15 is: 808.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.95 : 1,010.24 = 585.15 : x
  2. Step 2: Convert to fraction form
    730.95/1,010.24 = 585.15/x
  3. Step 3: Cross multiply
    730.95x = 1,010.24 × 585.15
  4. Step 4: Simplify right side
    730.95x = 591,139.01
  5. Step 5: Solve for x
    x = 591,139.01/730.95
  6. Step 6: Final answer
    x = 808.73

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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.