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Finding the Fourth Proportional to 600.40, 894.05 and 585.04

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Solution

The fourth proportional to 600.40, 894.05 and 585.04 is: 871.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.40 : 894.05 = 585.04 : x
  2. Step 2: Convert to fraction form
    600.40/894.05 = 585.04/x
  3. Step 3: Cross multiply
    600.40x = 894.05 × 585.04
  4. Step 4: Simplify right side
    600.40x = 523,055.01
  5. Step 5: Solve for x
    x = 523,055.01/600.40
  6. Step 6: Final answer
    x = 871.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.