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Finding the Fourth Proportional to 1,322.90, 1,823.31 and 880.04

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Solution

The fourth proportional to 1,322.90, 1,823.31 and 880.04 is: 1,212.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.90 : 1,823.31 = 880.04 : x
  2. Step 2: Convert to fraction form
    1,322.90/1,823.31 = 880.04/x
  3. Step 3: Cross multiply
    1,322.90x = 1,823.31 × 880.04
  4. Step 4: Simplify right side
    1,322.90x = 1,604,585.73
  5. Step 5: Solve for x
    x = 1,604,585.73/1,322.90
  6. Step 6: Final answer
    x = 1,212.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.