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Finding the Fourth Proportional to 751.89, 1,129.06 and 465.15

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Solution

The fourth proportional to 751.89, 1,129.06 and 465.15 is: 698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.89 : 1,129.06 = 465.15 : x
  2. Step 2: Convert to fraction form
    751.89/1,129.06 = 465.15/x
  3. Step 3: Cross multiply
    751.89x = 1,129.06 × 465.15
  4. Step 4: Simplify right side
    751.89x = 525,182.26
  5. Step 5: Solve for x
    x = 525,182.26/751.89
  6. Step 6: Final answer
    x = 698.48

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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.