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Finding the Fourth Proportional to 1,319.59, 1,821.05 and 722.11

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Solution

The fourth proportional to 1,319.59, 1,821.05 and 722.11 is: 996.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.59 : 1,821.05 = 722.11 : x
  2. Step 2: Convert to fraction form
    1,319.59/1,821.05 = 722.11/x
  3. Step 3: Cross multiply
    1,319.59x = 1,821.05 × 722.11
  4. Step 4: Simplify right side
    1,319.59x = 1,314,998.42
  5. Step 5: Solve for x
    x = 1,314,998.42/1,319.59
  6. Step 6: Final answer
    x = 996.52

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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.