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Finding the Fourth Proportional to 1,223.68, 1,834.31 and 783.68

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Solution

The fourth proportional to 1,223.68, 1,834.31 and 783.68 is: 1,174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.68 : 1,834.31 = 783.68 : x
  2. Step 2: Convert to fraction form
    1,223.68/1,834.31 = 783.68/x
  3. Step 3: Cross multiply
    1,223.68x = 1,834.31 × 783.68
  4. Step 4: Simplify right side
    1,223.68x = 1,437,506.70
  5. Step 5: Solve for x
    x = 1,437,506.70/1,223.68
  6. Step 6: Final answer
    x = 1,174.74

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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.