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Finding the Fourth Proportional to 1,102.14, 1,520.64 and 709.29

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Solution

The fourth proportional to 1,102.14, 1,520.64 and 709.29 is: 978.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.14 : 1,520.64 = 709.29 : x
  2. Step 2: Convert to fraction form
    1,102.14/1,520.64 = 709.29/x
  3. Step 3: Cross multiply
    1,102.14x = 1,520.64 × 709.29
  4. Step 4: Simplify right side
    1,102.14x = 1,078,574.75
  5. Step 5: Solve for x
    x = 1,078,574.75/1,102.14
  6. Step 6: Final answer
    x = 978.62

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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.