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Finding the Fourth Proportional to 1,319.32, 1,977.54 and 832.60

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Solution

The fourth proportional to 1,319.32, 1,977.54 and 832.60 is: 1,247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.32 : 1,977.54 = 832.60 : x
  2. Step 2: Convert to fraction form
    1,319.32/1,977.54 = 832.60/x
  3. Step 3: Cross multiply
    1,319.32x = 1,977.54 × 832.60
  4. Step 4: Simplify right side
    1,319.32x = 1,646,499.80
  5. Step 5: Solve for x
    x = 1,646,499.80/1,319.32
  6. Step 6: Final answer
    x = 1,247.99

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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.