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Finding the Fourth Proportional to 1,177.01, 1,774.36 and 1,097.74

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Solution

The fourth proportional to 1,177.01, 1,774.36 and 1,097.74 is: 1,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.01 : 1,774.36 = 1,097.74 : x
  2. Step 2: Convert to fraction form
    1,177.01/1,774.36 = 1,097.74/x
  3. Step 3: Cross multiply
    1,177.01x = 1,774.36 × 1,097.74
  4. Step 4: Simplify right side
    1,177.01x = 1,947,777.07
  5. Step 5: Solve for x
    x = 1,947,777.07/1,177.01
  6. Step 6: Final answer
    x = 1,654.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.