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Finding the Fourth Proportional to 1,322.96, 1,826.40 and 991.24

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Solution

The fourth proportional to 1,322.96, 1,826.40 and 991.24 is: 1,368.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.96 : 1,826.40 = 991.24 : x
  2. Step 2: Convert to fraction form
    1,322.96/1,826.40 = 991.24/x
  3. Step 3: Cross multiply
    1,322.96x = 1,826.40 × 991.24
  4. Step 4: Simplify right side
    1,322.96x = 1,810,400.74
  5. Step 5: Solve for x
    x = 1,810,400.74/1,322.96
  6. Step 6: Final answer
    x = 1,368.45

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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.