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Finding the Fourth Proportional to 1,097.66, 1,647.10 and 448.35

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Solution

The fourth proportional to 1,097.66, 1,647.10 and 448.35 is: 672.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.66 : 1,647.10 = 448.35 : x
  2. Step 2: Convert to fraction form
    1,097.66/1,647.10 = 448.35/x
  3. Step 3: Cross multiply
    1,097.66x = 1,647.10 × 448.35
  4. Step 4: Simplify right side
    1,097.66x = 738,477.29
  5. Step 5: Solve for x
    x = 738,477.29/1,097.66
  6. Step 6: Final answer
    x = 672.77

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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.