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Finding the Fourth Proportional to 1,051.50, 1,575.92 and 921.18

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Solution

The fourth proportional to 1,051.50, 1,575.92 and 921.18 is: 1,380.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.50 : 1,575.92 = 921.18 : x
  2. Step 2: Convert to fraction form
    1,051.50/1,575.92 = 921.18/x
  3. Step 3: Cross multiply
    1,051.50x = 1,575.92 × 921.18
  4. Step 4: Simplify right side
    1,051.50x = 1,451,708.29
  5. Step 5: Solve for x
    x = 1,451,708.29/1,051.50
  6. Step 6: Final answer
    x = 1,380.61

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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.