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Finding the Fourth Proportional to 740.44, 1,110.55 and 465.69

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Solution

The fourth proportional to 740.44, 1,110.55 and 465.69 is: 698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.44 : 1,110.55 = 465.69 : x
  2. Step 2: Convert to fraction form
    740.44/1,110.55 = 465.69/x
  3. Step 3: Cross multiply
    740.44x = 1,110.55 × 465.69
  4. Step 4: Simplify right side
    740.44x = 517,172.03
  5. Step 5: Solve for x
    x = 517,172.03/740.44
  6. Step 6: Final answer
    x = 698.47

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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.