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Finding the Fourth Proportional to 1,298.97, 1,792.49 and 709.38

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Solution

The fourth proportional to 1,298.97, 1,792.49 and 709.38 is: 978.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.97 : 1,792.49 = 709.38 : x
  2. Step 2: Convert to fraction form
    1,298.97/1,792.49 = 709.38/x
  3. Step 3: Cross multiply
    1,298.97x = 1,792.49 × 709.38
  4. Step 4: Simplify right side
    1,298.97x = 1,271,553.01
  5. Step 5: Solve for x
    x = 1,271,553.01/1,298.97
  6. Step 6: Final answer
    x = 978.89

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1.5x scale

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.