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Finding the Fourth Proportional to 1,267.86, 1,902.69 and 829.10

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Solution

The fourth proportional to 1,267.86, 1,902.69 and 829.10 is: 1,244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.86 : 1,902.69 = 829.10 : x
  2. Step 2: Convert to fraction form
    1,267.86/1,902.69 = 829.10/x
  3. Step 3: Cross multiply
    1,267.86x = 1,902.69 × 829.10
  4. Step 4: Simplify right side
    1,267.86x = 1,577,510.99
  5. Step 5: Solve for x
    x = 1,577,510.99/1,267.86
  6. Step 6: Final answer
    x = 1,244.23

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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.