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Finding the Fourth Proportional to 746.78, 1,030.63 and 415.27

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Solution

The fourth proportional to 746.78, 1,030.63 and 415.27 is: 573.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.78 : 1,030.63 = 415.27 : x
  2. Step 2: Convert to fraction form
    746.78/1,030.63 = 415.27/x
  3. Step 3: Cross multiply
    746.78x = 1,030.63 × 415.27
  4. Step 4: Simplify right side
    746.78x = 427,989.72
  5. Step 5: Solve for x
    x = 427,989.72/746.78
  6. Step 6: Final answer
    x = 573.11

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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.