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Finding the Fourth Proportional to 1,097.94, 1,647.02 and 404.79

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Solution

The fourth proportional to 1,097.94, 1,647.02 and 404.79 is: 607.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.94 : 1,647.02 = 404.79 : x
  2. Step 2: Convert to fraction form
    1,097.94/1,647.02 = 404.79/x
  3. Step 3: Cross multiply
    1,097.94x = 1,647.02 × 404.79
  4. Step 4: Simplify right side
    1,097.94x = 666,697.23
  5. Step 5: Solve for x
    x = 666,697.23/1,097.94
  6. Step 6: Final answer
    x = 607.23

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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.