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Finding the Fourth Proportional to 1,052.54, 1,452.53 and 580.47

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Solution

The fourth proportional to 1,052.54, 1,452.53 and 580.47 is: 801.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.54 : 1,452.53 = 580.47 : x
  2. Step 2: Convert to fraction form
    1,052.54/1,452.53 = 580.47/x
  3. Step 3: Cross multiply
    1,052.54x = 1,452.53 × 580.47
  4. Step 4: Simplify right side
    1,052.54x = 843,146.09
  5. Step 5: Solve for x
    x = 843,146.09/1,052.54
  6. Step 6: Final answer
    x = 801.06

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Why These Related Problems?

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