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Finding the Fourth Proportional to 753.39, 1,129.68 and 465.03

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Solution

The fourth proportional to 753.39, 1,129.68 and 465.03 is: 697.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.39 : 1,129.68 = 465.03 : x
  2. Step 2: Convert to fraction form
    753.39/1,129.68 = 465.03/x
  3. Step 3: Cross multiply
    753.39x = 1,129.68 × 465.03
  4. Step 4: Simplify right side
    753.39x = 525,335.09
  5. Step 5: Solve for x
    x = 525,335.09/753.39
  6. Step 6: Final answer
    x = 697.30

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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.