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Finding the Fourth Proportional to 711.02, 1,064.74 and 450.23

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Solution

The fourth proportional to 711.02, 1,064.74 and 450.23 is: 674.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.02 : 1,064.74 = 450.23 : x
  2. Step 2: Convert to fraction form
    711.02/1,064.74 = 450.23/x
  3. Step 3: Cross multiply
    711.02x = 1,064.74 × 450.23
  4. Step 4: Simplify right side
    711.02x = 479,377.12
  5. Step 5: Solve for x
    x = 479,377.12/711.02
  6. Step 6: Final answer
    x = 674.22

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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.