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Finding the Fourth Proportional to 1,319.10, 1,820.38 and 729.62

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Solution

The fourth proportional to 1,319.10, 1,820.38 and 729.62 is: 1,006.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.10 : 1,820.38 = 729.62 : x
  2. Step 2: Convert to fraction form
    1,319.10/1,820.38 = 729.62/x
  3. Step 3: Cross multiply
    1,319.10x = 1,820.38 × 729.62
  4. Step 4: Simplify right side
    1,319.10x = 1,328,185.66
  5. Step 5: Solve for x
    x = 1,328,185.66/1,319.10
  6. Step 6: Final answer
    x = 1,006.89

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1.5x scale

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.