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Finding the Fourth Proportional to 1,298.80, 1,792.24 and 709.35

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Solution

The fourth proportional to 1,298.80, 1,792.24 and 709.35 is: 978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.80 : 1,792.24 = 709.35 : x
  2. Step 2: Convert to fraction form
    1,298.80/1,792.24 = 709.35/x
  3. Step 3: Cross multiply
    1,298.80x = 1,792.24 × 709.35
  4. Step 4: Simplify right side
    1,298.80x = 1,271,325.44
  5. Step 5: Solve for x
    x = 1,271,325.44/1,298.80
  6. Step 6: Final answer
    x = 978.85

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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.