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Finding the Fourth Proportional to 1,329.69, 1,834.93 and 740.22

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Solution

The fourth proportional to 1,329.69, 1,834.93 and 740.22 is: 1,021.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.69 : 1,834.93 = 740.22 : x
  2. Step 2: Convert to fraction form
    1,329.69/1,834.93 = 740.22/x
  3. Step 3: Cross multiply
    1,329.69x = 1,834.93 × 740.22
  4. Step 4: Simplify right side
    1,329.69x = 1,358,240.86
  5. Step 5: Solve for x
    x = 1,358,240.86/1,329.69
  6. Step 6: Final answer
    x = 1,021.47

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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.