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Finding the Fourth Proportional to 1,052.04, 1,452.52 and 698.26

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Solution

The fourth proportional to 1,052.04, 1,452.52 and 698.26 is: 964.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.04 : 1,452.52 = 698.26 : x
  2. Step 2: Convert to fraction form
    1,052.04/1,452.52 = 698.26/x
  3. Step 3: Cross multiply
    1,052.04x = 1,452.52 × 698.26
  4. Step 4: Simplify right side
    1,052.04x = 1,014,236.62
  5. Step 5: Solve for x
    x = 1,014,236.62/1,052.04
  6. Step 6: Final answer
    x = 964.07

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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.