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Finding the Fourth Proportional to 1,034.74, 1,550.76 and 624.03

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Solution

The fourth proportional to 1,034.74, 1,550.76 and 624.03 is: 935.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.74 : 1,550.76 = 624.03 : x
  2. Step 2: Convert to fraction form
    1,034.74/1,550.76 = 624.03/x
  3. Step 3: Cross multiply
    1,034.74x = 1,550.76 × 624.03
  4. Step 4: Simplify right side
    1,034.74x = 967,720.76
  5. Step 5: Solve for x
    x = 967,720.76/1,034.74
  6. Step 6: Final answer
    x = 935.23

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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.