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Finding the Fourth Proportional to 1,299.24, 1,792.93 and 709.77

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Solution

The fourth proportional to 1,299.24, 1,792.93 and 709.77 is: 979.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.24 : 1,792.93 = 709.77 : x
  2. Step 2: Convert to fraction form
    1,299.24/1,792.93 = 709.77/x
  3. Step 3: Cross multiply
    1,299.24x = 1,792.93 × 709.77
  4. Step 4: Simplify right side
    1,299.24x = 1,272,567.93
  5. Step 5: Solve for x
    x = 1,272,567.93/1,299.24
  6. Step 6: Final answer
    x = 979.47

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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.