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Finding the Fourth Proportional to 1,064.20, 1,597.32 and 578.28

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Solution

The fourth proportional to 1,064.20, 1,597.32 and 578.28 is: 867.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.20 : 1,597.32 = 578.28 : x
  2. Step 2: Convert to fraction form
    1,064.20/1,597.32 = 578.28/x
  3. Step 3: Cross multiply
    1,064.20x = 1,597.32 × 578.28
  4. Step 4: Simplify right side
    1,064.20x = 923,698.21
  5. Step 5: Solve for x
    x = 923,698.21/1,064.20
  6. Step 6: Final answer
    x = 867.97

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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.