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Finding the Fourth Proportional to 1,319.23, 1,820.51 and 729.76

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Solution

The fourth proportional to 1,319.23, 1,820.51 and 729.76 is: 1,007.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.23 : 1,820.51 = 729.76 : x
  2. Step 2: Convert to fraction form
    1,319.23/1,820.51 = 729.76/x
  3. Step 3: Cross multiply
    1,319.23x = 1,820.51 × 729.76
  4. Step 4: Simplify right side
    1,319.23x = 1,328,539.25
  5. Step 5: Solve for x
    x = 1,328,539.25/1,319.23
  6. Step 6: Final answer
    x = 1,007.06

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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.