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Finding the Fourth Proportional to 1,051.02, 1,575.26 and 742.42

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Solution

The fourth proportional to 1,051.02, 1,575.26 and 742.42 is: 1,112.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.02 : 1,575.26 = 742.42 : x
  2. Step 2: Convert to fraction form
    1,051.02/1,575.26 = 742.42/x
  3. Step 3: Cross multiply
    1,051.02x = 1,575.26 × 742.42
  4. Step 4: Simplify right side
    1,051.02x = 1,169,504.53
  5. Step 5: Solve for x
    x = 1,169,504.53/1,051.02
  6. Step 6: Final answer
    x = 1,112.73

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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.