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Finding the Fourth Proportional to 740.61, 1,109.30 and 495.99

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Solution

The fourth proportional to 740.61, 1,109.30 and 495.99 is: 742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.61 : 1,109.30 = 495.99 : x
  2. Step 2: Convert to fraction form
    740.61/1,109.30 = 495.99/x
  3. Step 3: Cross multiply
    740.61x = 1,109.30 × 495.99
  4. Step 4: Simplify right side
    740.61x = 550,199.23
  5. Step 5: Solve for x
    x = 550,199.23/740.61
  6. Step 6: Final answer
    x = 742.90

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