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Finding the Fourth Proportional to 741.06, 1,109.70 and 619.02

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Solution

The fourth proportional to 741.06, 1,109.70 and 619.02 is: 926.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.06 : 1,109.70 = 619.02 : x
  2. Step 2: Convert to fraction form
    741.06/1,109.70 = 619.02/x
  3. Step 3: Cross multiply
    741.06x = 1,109.70 × 619.02
  4. Step 4: Simplify right side
    741.06x = 686,926.49
  5. Step 5: Solve for x
    x = 686,926.49/741.06
  6. Step 6: Final answer
    x = 926.95

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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.