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Finding the Fourth Proportional to 1,097.68, 1,646.84 and 448.08

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Solution

The fourth proportional to 1,097.68, 1,646.84 and 448.08 is: 672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.68 : 1,646.84 = 448.08 : x
  2. Step 2: Convert to fraction form
    1,097.68/1,646.84 = 448.08/x
  3. Step 3: Cross multiply
    1,097.68x = 1,646.84 × 448.08
  4. Step 4: Simplify right side
    1,097.68x = 737,916.07
  5. Step 5: Solve for x
    x = 737,916.07/1,097.68
  6. Step 6: Final answer
    x = 672.25

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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.