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Finding the Fourth Proportional to 1,097.40, 1,646.10 and 805.80

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Solution

The fourth proportional to 1,097.40, 1,646.10 and 805.80 is: 1,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.40 : 1,646.10 = 805.80 : x
  2. Step 2: Convert to fraction form
    1,097.40/1,646.10 = 805.80/x
  3. Step 3: Cross multiply
    1,097.40x = 1,646.10 × 805.80
  4. Step 4: Simplify right side
    1,097.40x = 1,326,427.38
  5. Step 5: Solve for x
    x = 1,326,427.38/1,097.40
  6. Step 6: Final answer
    x = 1,208.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.