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Finding the Fourth Proportional to 1,057.51, 1,584.46 and 747.84

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Solution

The fourth proportional to 1,057.51, 1,584.46 and 747.84 is: 1,120.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.51 : 1,584.46 = 747.84 : x
  2. Step 2: Convert to fraction form
    1,057.51/1,584.46 = 747.84/x
  3. Step 3: Cross multiply
    1,057.51x = 1,584.46 × 747.84
  4. Step 4: Simplify right side
    1,057.51x = 1,184,929.44
  5. Step 5: Solve for x
    x = 1,184,929.44/1,057.51
  6. Step 6: Final answer
    x = 1,120.49

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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.