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Finding the Fourth Proportional to 1,101.76, 1,520.40 and 709.42

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Solution

The fourth proportional to 1,101.76, 1,520.40 and 709.42 is: 978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.76 : 1,520.40 = 709.42 : x
  2. Step 2: Convert to fraction form
    1,101.76/1,520.40 = 709.42/x
  3. Step 3: Cross multiply
    1,101.76x = 1,520.40 × 709.42
  4. Step 4: Simplify right side
    1,101.76x = 1,078,602.17
  5. Step 5: Solve for x
    x = 1,078,602.17/1,101.76
  6. Step 6: Final answer
    x = 978.98

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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.