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Finding the Fourth Proportional to 1,073.36, 1,610.86 and 760.98

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Solution

The fourth proportional to 1,073.36, 1,610.86 and 760.98 is: 1,142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.36 : 1,610.86 = 760.98 : x
  2. Step 2: Convert to fraction form
    1,073.36/1,610.86 = 760.98/x
  3. Step 3: Cross multiply
    1,073.36x = 1,610.86 × 760.98
  4. Step 4: Simplify right side
    1,073.36x = 1,225,832.24
  5. Step 5: Solve for x
    x = 1,225,832.24/1,073.36
  6. Step 6: Final answer
    x = 1,142.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.