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Finding the Fourth Proportional to 1,035.69, 1,551.14 and 623.93

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Solution

The fourth proportional to 1,035.69, 1,551.14 and 623.93 is: 934.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.69 : 1,551.14 = 623.93 : x
  2. Step 2: Convert to fraction form
    1,035.69/1,551.14 = 623.93/x
  3. Step 3: Cross multiply
    1,035.69x = 1,551.14 × 623.93
  4. Step 4: Simplify right side
    1,035.69x = 967,791.90
  5. Step 5: Solve for x
    x = 967,791.90/1,035.69
  6. Step 6: Final answer
    x = 934.44

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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.