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Finding the Fourth Proportional to 1,097.17, 1,653.08 and 993.18

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Solution

The fourth proportional to 1,097.17, 1,653.08 and 993.18 is: 1,496.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.17 : 1,653.08 = 993.18 : x
  2. Step 2: Convert to fraction form
    1,097.17/1,653.08 = 993.18/x
  3. Step 3: Cross multiply
    1,097.17x = 1,653.08 × 993.18
  4. Step 4: Simplify right side
    1,097.17x = 1,641,805.99
  5. Step 5: Solve for x
    x = 1,641,805.99/1,097.17
  6. Step 6: Final answer
    x = 1,496.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.