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Finding the Fourth Proportional to 1,048.44, 1,572.69 and 471.32

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Solution

The fourth proportional to 1,048.44, 1,572.69 and 471.32 is: 706.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.44 : 1,572.69 = 471.32 : x
  2. Step 2: Convert to fraction form
    1,048.44/1,572.69 = 471.32/x
  3. Step 3: Cross multiply
    1,048.44x = 1,572.69 × 471.32
  4. Step 4: Simplify right side
    1,048.44x = 741,232.39
  5. Step 5: Solve for x
    x = 741,232.39/1,048.44
  6. Step 6: Final answer
    x = 706.99

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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.