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Finding the Fourth Proportional to 1,309.18, 1,963.77 and 431.68

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Solution

The fourth proportional to 1,309.18, 1,963.77 and 431.68 is: 647.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.18 : 1,963.77 = 431.68 : x
  2. Step 2: Convert to fraction form
    1,309.18/1,963.77 = 431.68/x
  3. Step 3: Cross multiply
    1,309.18x = 1,963.77 × 431.68
  4. Step 4: Simplify right side
    1,309.18x = 847,720.23
  5. Step 5: Solve for x
    x = 847,720.23/1,309.18
  6. Step 6: Final answer
    x = 647.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.