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Finding the Fourth Proportional to 740.07, 1,109.80 and 277.69

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Solution

The fourth proportional to 740.07, 1,109.80 and 277.69 is: 416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.07 : 1,109.80 = 277.69 : x
  2. Step 2: Convert to fraction form
    740.07/1,109.80 = 277.69/x
  3. Step 3: Cross multiply
    740.07x = 1,109.80 × 277.69
  4. Step 4: Simplify right side
    740.07x = 308,180.36
  5. Step 5: Solve for x
    x = 308,180.36/740.07
  6. Step 6: Final answer
    x = 416.42

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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.