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Finding the Fourth Proportional to 663.64, 990.59 and 585.80

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Solution

The fourth proportional to 663.64, 990.59 and 585.80 is: 874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.64 : 990.59 = 585.80 : x
  2. Step 2: Convert to fraction form
    663.64/990.59 = 585.80/x
  3. Step 3: Cross multiply
    663.64x = 990.59 × 585.80
  4. Step 4: Simplify right side
    663.64x = 580,279.74
  5. Step 5: Solve for x
    x = 580,279.74/663.64
  6. Step 6: Final answer
    x = 874.39

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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.