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Finding the Fourth Proportional to 1,122.39, 1,690.91 and 880.00

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Solution

The fourth proportional to 1,122.39, 1,690.91 and 880.00 is: 1,325.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.39 : 1,690.91 = 880.00 : x
  2. Step 2: Convert to fraction form
    1,122.39/1,690.91 = 880.00/x
  3. Step 3: Cross multiply
    1,122.39x = 1,690.91 × 880.00
  4. Step 4: Simplify right side
    1,122.39x = 1,487,995.47
  5. Step 5: Solve for x
    x = 1,487,995.47/1,122.39
  6. Step 6: Final answer
    x = 1,325.74

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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.