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Finding the Fourth Proportional to 1,052.19, 1,451.97 and 580.07

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Solution

The fourth proportional to 1,052.19, 1,451.97 and 580.07 is: 800.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.19 : 1,451.97 = 580.07 : x
  2. Step 2: Convert to fraction form
    1,052.19/1,451.97 = 580.07/x
  3. Step 3: Cross multiply
    1,052.19x = 1,451.97 × 580.07
  4. Step 4: Simplify right side
    1,052.19x = 842,244.24
  5. Step 5: Solve for x
    x = 842,244.24/1,052.19
  6. Step 6: Final answer
    x = 800.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.