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Finding the Fourth Proportional to 735, 1,014.34 and 424.60

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Solution

The fourth proportional to 735, 1,014.34 and 424.60 is: 585.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    735 : 1,014.34 = 424.60 : x
  2. Step 2: Convert to fraction form
    735/1,014.34 = 424.60/x
  3. Step 3: Cross multiply
    735x = 1,014.34 × 424.60
  4. Step 4: Simplify right side
    735x = 430,688.76
  5. Step 5: Solve for x
    x = 430,688.76/735
  6. Step 6: Final answer
    x = 585.97

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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.