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Finding the Fourth Proportional to 1,054.70, 1,580.96 and 438.74

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Solution

The fourth proportional to 1,054.70, 1,580.96 and 438.74 is: 657.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.70 : 1,580.96 = 438.74 : x
  2. Step 2: Convert to fraction form
    1,054.70/1,580.96 = 438.74/x
  3. Step 3: Cross multiply
    1,054.70x = 1,580.96 × 438.74
  4. Step 4: Simplify right side
    1,054.70x = 693,620.29
  5. Step 5: Solve for x
    x = 693,620.29/1,054.70
  6. Step 6: Final answer
    x = 657.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.