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Finding the Fourth Proportional to 746.76, 1,030.67 and 494.69

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Solution

The fourth proportional to 746.76, 1,030.67 and 494.69 is: 682.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.76 : 1,030.67 = 494.69 : x
  2. Step 2: Convert to fraction form
    746.76/1,030.67 = 494.69/x
  3. Step 3: Cross multiply
    746.76x = 1,030.67 × 494.69
  4. Step 4: Simplify right side
    746.76x = 509,862.14
  5. Step 5: Solve for x
    x = 509,862.14/746.76
  6. Step 6: Final answer
    x = 682.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.