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Finding the Fourth Proportional to 746.26, 1,117.23 and 456.82

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Solution

The fourth proportional to 746.26, 1,117.23 and 456.82 is: 683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.26 : 1,117.23 = 456.82 : x
  2. Step 2: Convert to fraction form
    746.26/1,117.23 = 456.82/x
  3. Step 3: Cross multiply
    746.26x = 1,117.23 × 456.82
  4. Step 4: Simplify right side
    746.26x = 510,373.01
  5. Step 5: Solve for x
    x = 510,373.01/746.26
  6. Step 6: Final answer
    x = 683.91

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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.