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Finding the Fourth Proportional to 1,051.42, 1,575.34 and 742.68

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Solution

The fourth proportional to 1,051.42, 1,575.34 and 742.68 is: 1,112.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.42 : 1,575.34 = 742.68 : x
  2. Step 2: Convert to fraction form
    1,051.42/1,575.34 = 742.68/x
  3. Step 3: Cross multiply
    1,051.42x = 1,575.34 × 742.68
  4. Step 4: Simplify right side
    1,051.42x = 1,169,973.51
  5. Step 5: Solve for x
    x = 1,169,973.51/1,051.42
  6. Step 6: Final answer
    x = 1,112.75

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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.