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Finding the Fourth Proportional to 968.65, 1,452.98 and 275.23

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Solution

The fourth proportional to 968.65, 1,452.98 and 275.23 is: 412.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.65 : 1,452.98 = 275.23 : x
  2. Step 2: Convert to fraction form
    968.65/1,452.98 = 275.23/x
  3. Step 3: Cross multiply
    968.65x = 1,452.98 × 275.23
  4. Step 4: Simplify right side
    968.65x = 399,901.92
  5. Step 5: Solve for x
    x = 399,901.92/968.65
  6. Step 6: Final answer
    x = 412.84

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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.