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Finding the Fourth Proportional to 1,034.42, 1,550.03 and 643.83

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Solution

The fourth proportional to 1,034.42, 1,550.03 and 643.83 is: 964.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.42 : 1,550.03 = 643.83 : x
  2. Step 2: Convert to fraction form
    1,034.42/1,550.03 = 643.83/x
  3. Step 3: Cross multiply
    1,034.42x = 1,550.03 × 643.83
  4. Step 4: Simplify right side
    1,034.42x = 997,955.01
  5. Step 5: Solve for x
    x = 997,955.01/1,034.42
  6. Step 6: Final answer
    x = 964.75

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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.