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Finding the Fourth Proportional to 949.23, 1,309.95 and 556.16

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Solution

The fourth proportional to 949.23, 1,309.95 and 556.16 is: 767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.23 : 1,309.95 = 556.16 : x
  2. Step 2: Convert to fraction form
    949.23/1,309.95 = 556.16/x
  3. Step 3: Cross multiply
    949.23x = 1,309.95 × 556.16
  4. Step 4: Simplify right side
    949.23x = 728,535.24
  5. Step 5: Solve for x
    x = 728,535.24/949.23
  6. Step 6: Final answer
    x = 767.50

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