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Finding the Fourth Proportional to 1,319.56, 1,977.72 and 955.60

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Solution

The fourth proportional to 1,319.56, 1,977.72 and 955.60 is: 1,432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.56 : 1,977.72 = 955.60 : x
  2. Step 2: Convert to fraction form
    1,319.56/1,977.72 = 955.60/x
  3. Step 3: Cross multiply
    1,319.56x = 1,977.72 × 955.60
  4. Step 4: Simplify right side
    1,319.56x = 1,889,909.23
  5. Step 5: Solve for x
    x = 1,889,909.23/1,319.56
  6. Step 6: Final answer
    x = 1,432.23

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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.