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Finding the Fourth Proportional to 1,097.47, 1,646.46 and 317.44

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Solution

The fourth proportional to 1,097.47, 1,646.46 and 317.44 is: 476.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.47 : 1,646.46 = 317.44 : x
  2. Step 2: Convert to fraction form
    1,097.47/1,646.46 = 317.44/x
  3. Step 3: Cross multiply
    1,097.47x = 1,646.46 × 317.44
  4. Step 4: Simplify right side
    1,097.47x = 522,652.26
  5. Step 5: Solve for x
    x = 522,652.26/1,097.47
  6. Step 6: Final answer
    x = 476.23

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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.