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Finding the Fourth Proportional to 1,400.32, 2,099.76 and 880.24

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Solution

The fourth proportional to 1,400.32, 2,099.76 and 880.24 is: 1,319.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.32 : 2,099.76 = 880.24 : x
  2. Step 2: Convert to fraction form
    1,400.32/2,099.76 = 880.24/x
  3. Step 3: Cross multiply
    1,400.32x = 2,099.76 × 880.24
  4. Step 4: Simplify right side
    1,400.32x = 1,848,292.74
  5. Step 5: Solve for x
    x = 1,848,292.74/1,400.32
  6. Step 6: Final answer
    x = 1,319.91

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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.