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Finding the Fourth Proportional to 1,122.52, 1,684.86 and 1,097.68

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Solution

The fourth proportional to 1,122.52, 1,684.86 and 1,097.68 is: 1,647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.52 : 1,684.86 = 1,097.68 : x
  2. Step 2: Convert to fraction form
    1,122.52/1,684.86 = 1,097.68/x
  3. Step 3: Cross multiply
    1,122.52x = 1,684.86 × 1,097.68
  4. Step 4: Simplify right side
    1,122.52x = 1,849,437.12
  5. Step 5: Solve for x
    x = 1,849,437.12/1,122.52
  6. Step 6: Final answer
    x = 1,647.58

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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.