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Finding the Fourth Proportional to 746.85, 1,030.60 and 415.26

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Solution

The fourth proportional to 746.85, 1,030.60 and 415.26 is: 573.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.85 : 1,030.60 = 415.26 : x
  2. Step 2: Convert to fraction form
    746.85/1,030.60 = 415.26/x
  3. Step 3: Cross multiply
    746.85x = 1,030.60 × 415.26
  4. Step 4: Simplify right side
    746.85x = 427,966.96
  5. Step 5: Solve for x
    x = 427,966.96/746.85
  6. Step 6: Final answer
    x = 573.03

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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.