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Finding the Fourth Proportional to 1,054.28, 1,580.84 and 437.60

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Solution

The fourth proportional to 1,054.28, 1,580.84 and 437.60 is: 656.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.28 : 1,580.84 = 437.60 : x
  2. Step 2: Convert to fraction form
    1,054.28/1,580.84 = 437.60/x
  3. Step 3: Cross multiply
    1,054.28x = 1,580.84 × 437.60
  4. Step 4: Simplify right side
    1,054.28x = 691,765.49
  5. Step 5: Solve for x
    x = 691,765.49/1,054.28
  6. Step 6: Final answer
    x = 656.15

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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.