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Finding the Fourth Proportional to 718.74, 1,078.65 and 445.23

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Solution

The fourth proportional to 718.74, 1,078.65 and 445.23 is: 668.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.74 : 1,078.65 = 445.23 : x
  2. Step 2: Convert to fraction form
    718.74/1,078.65 = 445.23/x
  3. Step 3: Cross multiply
    718.74x = 1,078.65 × 445.23
  4. Step 4: Simplify right side
    718.74x = 480,247.34
  5. Step 5: Solve for x
    x = 480,247.34/718.74
  6. Step 6: Final answer
    x = 668.18

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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.