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Finding the Fourth Proportional to 1,245.32, 1,867.98 and 379.63

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Solution

The fourth proportional to 1,245.32, 1,867.98 and 379.63 is: 569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.32 : 1,867.98 = 379.63 : x
  2. Step 2: Convert to fraction form
    1,245.32/1,867.98 = 379.63/x
  3. Step 3: Cross multiply
    1,245.32x = 1,867.98 × 379.63
  4. Step 4: Simplify right side
    1,245.32x = 709,141.25
  5. Step 5: Solve for x
    x = 709,141.25/1,245.32
  6. Step 6: Final answer
    x = 569.45

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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.