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Finding the Fourth Proportional to 1,370.32, 2,054.64 and 547.64

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Solution

The fourth proportional to 1,370.32, 2,054.64 and 547.64 is: 821.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.32 : 2,054.64 = 547.64 : x
  2. Step 2: Convert to fraction form
    1,370.32/2,054.64 = 547.64/x
  3. Step 3: Cross multiply
    1,370.32x = 2,054.64 × 547.64
  4. Step 4: Simplify right side
    1,370.32x = 1,125,203.05
  5. Step 5: Solve for x
    x = 1,125,203.05/1,370.32
  6. Step 6: Final answer
    x = 821.12

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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.