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Finding the Fourth Proportional to 1,464.39, 2,197.05 and 879.30

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Solution

The fourth proportional to 1,464.39, 2,197.05 and 879.30 is: 1,319.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.39 : 2,197.05 = 879.30 : x
  2. Step 2: Convert to fraction form
    1,464.39/2,197.05 = 879.30/x
  3. Step 3: Cross multiply
    1,464.39x = 2,197.05 × 879.30
  4. Step 4: Simplify right side
    1,464.39x = 1,931,866.07
  5. Step 5: Solve for x
    x = 1,931,866.07/1,464.39
  6. Step 6: Final answer
    x = 1,319.23

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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.