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Finding the Fourth Proportional to 1,310.25, 1,965.16 and 432.77

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Solution

The fourth proportional to 1,310.25, 1,965.16 and 432.77 is: 649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.25 : 1,965.16 = 432.77 : x
  2. Step 2: Convert to fraction form
    1,310.25/1,965.16 = 432.77/x
  3. Step 3: Cross multiply
    1,310.25x = 1,965.16 × 432.77
  4. Step 4: Simplify right side
    1,310.25x = 850,458.54
  5. Step 5: Solve for x
    x = 850,458.54/1,310.25
  6. Step 6: Final answer
    x = 649.08

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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.