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Finding the Fourth Proportional to 1,091.10, 1,505.16 and 795.90

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Solution

The fourth proportional to 1,091.10, 1,505.16 and 795.90 is: 1,097.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.10 : 1,505.16 = 795.90 : x
  2. Step 2: Convert to fraction form
    1,091.10/1,505.16 = 795.90/x
  3. Step 3: Cross multiply
    1,091.10x = 1,505.16 × 795.90
  4. Step 4: Simplify right side
    1,091.10x = 1,197,956.84
  5. Step 5: Solve for x
    x = 1,197,956.84/1,091.10
  6. Step 6: Final answer
    x = 1,097.93

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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.