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Finding the Fourth Proportional to 969.48, 1,452.72 and 507.36

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Solution

The fourth proportional to 969.48, 1,452.72 and 507.36 is: 760.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.48 : 1,452.72 = 507.36 : x
  2. Step 2: Convert to fraction form
    969.48/1,452.72 = 507.36/x
  3. Step 3: Cross multiply
    969.48x = 1,452.72 × 507.36
  4. Step 4: Simplify right side
    969.48x = 737,052.02
  5. Step 5: Solve for x
    x = 737,052.02/969.48
  6. Step 6: Final answer
    x = 760.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.