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Finding the Fourth Proportional to 1,049.67, 1,572.53 and 701.96

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Solution

The fourth proportional to 1,049.67, 1,572.53 and 701.96 is: 1,051.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.67 : 1,572.53 = 701.96 : x
  2. Step 2: Convert to fraction form
    1,049.67/1,572.53 = 701.96/x
  3. Step 3: Cross multiply
    1,049.67x = 1,572.53 × 701.96
  4. Step 4: Simplify right side
    1,049.67x = 1,103,841.79
  5. Step 5: Solve for x
    x = 1,103,841.79/1,049.67
  6. Step 6: Final answer
    x = 1,051.61

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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.