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Finding the Fourth Proportional to 1,308.93, 1,963.44 and 431.57

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Solution

The fourth proportional to 1,308.93, 1,963.44 and 431.57 is: 647.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.93 : 1,963.44 = 431.57 : x
  2. Step 2: Convert to fraction form
    1,308.93/1,963.44 = 431.57/x
  3. Step 3: Cross multiply
    1,308.93x = 1,963.44 × 431.57
  4. Step 4: Simplify right side
    1,308.93x = 847,351.98
  5. Step 5: Solve for x
    x = 847,351.98/1,308.93
  6. Step 6: Final answer
    x = 647.36

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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.