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Finding the Fourth Proportional to 1,299.16, 1,792.51 and 967.69

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Solution

The fourth proportional to 1,299.16, 1,792.51 and 967.69 is: 1,335.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.16 : 1,792.51 = 967.69 : x
  2. Step 2: Convert to fraction form
    1,299.16/1,792.51 = 967.69/x
  3. Step 3: Cross multiply
    1,299.16x = 1,792.51 × 967.69
  4. Step 4: Simplify right side
    1,299.16x = 1,734,594.00
  5. Step 5: Solve for x
    x = 1,734,594.00/1,299.16
  6. Step 6: Final answer
    x = 1,335.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.