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Finding the Fourth Proportional to 1,319.55, 1,820.92 and 722.03

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Solution

The fourth proportional to 1,319.55, 1,820.92 and 722.03 is: 996.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.55 : 1,820.92 = 722.03 : x
  2. Step 2: Convert to fraction form
    1,319.55/1,820.92 = 722.03/x
  3. Step 3: Cross multiply
    1,319.55x = 1,820.92 × 722.03
  4. Step 4: Simplify right side
    1,319.55x = 1,314,758.87
  5. Step 5: Solve for x
    x = 1,314,758.87/1,319.55
  6. Step 6: Final answer
    x = 996.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.