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Finding the Fourth Proportional to 1,008.91, 1,511.34 and 735.58

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Solution

The fourth proportional to 1,008.91, 1,511.34 and 735.58 is: 1,101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.91 : 1,511.34 = 735.58 : x
  2. Step 2: Convert to fraction form
    1,008.91/1,511.34 = 735.58/x
  3. Step 3: Cross multiply
    1,008.91x = 1,511.34 × 735.58
  4. Step 4: Simplify right side
    1,008.91x = 1,111,711.48
  5. Step 5: Solve for x
    x = 1,111,711.48/1,008.91
  6. Step 6: Final answer
    x = 1,101.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.