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Finding the Fourth Proportional to 618.04, 853.86 and 585.64

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Solution

The fourth proportional to 618.04, 853.86 and 585.64 is: 809.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.04 : 853.86 = 585.64 : x
  2. Step 2: Convert to fraction form
    618.04/853.86 = 585.64/x
  3. Step 3: Cross multiply
    618.04x = 853.86 × 585.64
  4. Step 4: Simplify right side
    618.04x = 500,054.57
  5. Step 5: Solve for x
    x = 500,054.57/618.04
  6. Step 6: Final answer
    x = 809.10

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Why These Related Problems?

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