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Finding the Fourth Proportional to 1,097.10, 1,646.19 and 448.02

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Solution

The fourth proportional to 1,097.10, 1,646.19 and 448.02 is: 672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.10 : 1,646.19 = 448.02 : x
  2. Step 2: Convert to fraction form
    1,097.10/1,646.19 = 448.02/x
  3. Step 3: Cross multiply
    1,097.10x = 1,646.19 × 448.02
  4. Step 4: Simplify right side
    1,097.10x = 737,526.04
  5. Step 5: Solve for x
    x = 737,526.04/1,097.10
  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.