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Finding the Fourth Proportional to 631.63, 871.59 and 585.19

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Solution

The fourth proportional to 631.63, 871.59 and 585.19 is: 807.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.63 : 871.59 = 585.19 : x
  2. Step 2: Convert to fraction form
    631.63/871.59 = 585.19/x
  3. Step 3: Cross multiply
    631.63x = 871.59 × 585.19
  4. Step 4: Simplify right side
    631.63x = 510,045.75
  5. Step 5: Solve for x
    x = 510,045.75/631.63
  6. Step 6: Final answer
    x = 807.51

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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.