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Finding the Fourth Proportional to 1,575.76, 2,364 and 754.24

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Solution

The fourth proportional to 1,575.76, 2,364 and 754.24 is: 1,131.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.76 : 2,364 = 754.24 : x
  2. Step 2: Convert to fraction form
    1,575.76/2,364 = 754.24/x
  3. Step 3: Cross multiply
    1,575.76x = 2,364 × 754.24
  4. Step 4: Simplify right side
    1,575.76x = 1,783,023.36
  5. Step 5: Solve for x
    x = 1,783,023.36/1,575.76
  6. Step 6: Final answer
    x = 1,131.53

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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.