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Finding the Fourth Proportional to 1,101.57, 1,520.00 and 709.12

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Solution

The fourth proportional to 1,101.57, 1,520.00 and 709.12 is: 978.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.57 : 1,520.00 = 709.12 : x
  2. Step 2: Convert to fraction form
    1,101.57/1,520.00 = 709.12/x
  3. Step 3: Cross multiply
    1,101.57x = 1,520.00 × 709.12
  4. Step 4: Simplify right side
    1,101.57x = 1,077,863.41
  5. Step 5: Solve for x
    x = 1,077,863.41/1,101.57
  6. Step 6: Final answer
    x = 978.48

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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.