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Finding the Fourth Proportional to 1,045.99, 1,567.20 and 633.85

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Solution

The fourth proportional to 1,045.99, 1,567.20 and 633.85 is: 949.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.99 : 1,567.20 = 633.85 : x
  2. Step 2: Convert to fraction form
    1,045.99/1,567.20 = 633.85/x
  3. Step 3: Cross multiply
    1,045.99x = 1,567.20 × 633.85
  4. Step 4: Simplify right side
    1,045.99x = 993,369.72
  5. Step 5: Solve for x
    x = 993,369.72/1,045.99
  6. Step 6: Final answer
    x = 949.69

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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.