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Finding the Fourth Proportional to 1,089.52, 1,504.07 and 742.03

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Solution

The fourth proportional to 1,089.52, 1,504.07 and 742.03 is: 1,024.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.52 : 1,504.07 = 742.03 : x
  2. Step 2: Convert to fraction form
    1,089.52/1,504.07 = 742.03/x
  3. Step 3: Cross multiply
    1,089.52x = 1,504.07 × 742.03
  4. Step 4: Simplify right side
    1,089.52x = 1,116,060.37
  5. Step 5: Solve for x
    x = 1,116,060.37/1,089.52
  6. Step 6: Final answer
    x = 1,024.36

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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.