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Finding the Fourth Proportional to 1,103.98, 1,656.20 and 795.07

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Solution

The fourth proportional to 1,103.98, 1,656.20 and 795.07 is: 1,192.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.98 : 1,656.20 = 795.07 : x
  2. Step 2: Convert to fraction form
    1,103.98/1,656.20 = 795.07/x
  3. Step 3: Cross multiply
    1,103.98x = 1,656.20 × 795.07
  4. Step 4: Simplify right side
    1,103.98x = 1,316,785.20
  5. Step 5: Solve for x
    x = 1,316,785.20/1,103.98
  6. Step 6: Final answer
    x = 1,192.76

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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.