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Finding the Fourth Proportional to 1,025.96, 1,538.40 and 701.42

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Solution

The fourth proportional to 1,025.96, 1,538.40 and 701.42 is: 1,051.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.96 : 1,538.40 = 701.42 : x
  2. Step 2: Convert to fraction form
    1,025.96/1,538.40 = 701.42/x
  3. Step 3: Cross multiply
    1,025.96x = 1,538.40 × 701.42
  4. Step 4: Simplify right side
    1,025.96x = 1,079,064.53
  5. Step 5: Solve for x
    x = 1,079,064.53/1,025.96
  6. Step 6: Final answer
    x = 1,051.76

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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.