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Finding the Fourth Proportional to 1,097.93, 1,646.88 and 317.90

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Solution

The fourth proportional to 1,097.93, 1,646.88 and 317.90 is: 476.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.93 : 1,646.88 = 317.90 : x
  2. Step 2: Convert to fraction form
    1,097.93/1,646.88 = 317.90/x
  3. Step 3: Cross multiply
    1,097.93x = 1,646.88 × 317.90
  4. Step 4: Simplify right side
    1,097.93x = 523,543.15
  5. Step 5: Solve for x
    x = 523,543.15/1,097.93
  6. Step 6: Final answer
    x = 476.85

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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.