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Finding the Fourth Proportional to 751.68, 1,125.50 and 706.73

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Solution

The fourth proportional to 751.68, 1,125.50 and 706.73 is: 1,058.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.68 : 1,125.50 = 706.73 : x
  2. Step 2: Convert to fraction form
    751.68/1,125.50 = 706.73/x
  3. Step 3: Cross multiply
    751.68x = 1,125.50 × 706.73
  4. Step 4: Simplify right side
    751.68x = 795,415.45
  5. Step 5: Solve for x
    x = 795,415.45/751.68
  6. Step 6: Final answer
    x = 1,058.18

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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.