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Finding the Fourth Proportional to 1,319.86, 1,821.59 and 760.42

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Solution

The fourth proportional to 1,319.86, 1,821.59 and 760.42 is: 1,049.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.86 : 1,821.59 = 760.42 : x
  2. Step 2: Convert to fraction form
    1,319.86/1,821.59 = 760.42/x
  3. Step 3: Cross multiply
    1,319.86x = 1,821.59 × 760.42
  4. Step 4: Simplify right side
    1,319.86x = 1,385,173.47
  5. Step 5: Solve for x
    x = 1,385,173.47/1,319.86
  6. Step 6: Final answer
    x = 1,049.49

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