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Finding the Fourth Proportional to 949.16, 1,309.86 and 529.58

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Solution

The fourth proportional to 949.16, 1,309.86 and 529.58 is: 730.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.16 : 1,309.86 = 529.58 : x
  2. Step 2: Convert to fraction form
    949.16/1,309.86 = 529.58/x
  3. Step 3: Cross multiply
    949.16x = 1,309.86 × 529.58
  4. Step 4: Simplify right side
    949.16x = 693,675.66
  5. Step 5: Solve for x
    x = 693,675.66/949.16
  6. Step 6: Final answer
    x = 730.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.