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Finding the Fourth Proportional to 1,557.21, 2,333.80 and 631.69

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Solution

The fourth proportional to 1,557.21, 2,333.80 and 631.69 is: 946.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.21 : 2,333.80 = 631.69 : x
  2. Step 2: Convert to fraction form
    1,557.21/2,333.80 = 631.69/x
  3. Step 3: Cross multiply
    1,557.21x = 2,333.80 × 631.69
  4. Step 4: Simplify right side
    1,557.21x = 1,474,233.08
  5. Step 5: Solve for x
    x = 1,474,233.08/1,557.21
  6. Step 6: Final answer
    x = 946.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.