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Finding the Fourth Proportional to 1,097.58, 1,647.40 and 448.37

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Solution

The fourth proportional to 1,097.58, 1,647.40 and 448.37 is: 672.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.58 : 1,647.40 = 448.37 : x
  2. Step 2: Convert to fraction form
    1,097.58/1,647.40 = 448.37/x
  3. Step 3: Cross multiply
    1,097.58x = 1,647.40 × 448.37
  4. Step 4: Simplify right side
    1,097.58x = 738,644.74
  5. Step 5: Solve for x
    x = 738,644.74/1,097.58
  6. Step 6: Final answer
    x = 672.98

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Why These Related Problems?

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