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Finding the Fourth Proportional to 735, 1,014.02 and 513.86

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Solution

The fourth proportional to 735, 1,014.02 and 513.86 is: 708.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    735 : 1,014.02 = 513.86 : x
  2. Step 2: Convert to fraction form
    735/1,014.02 = 513.86/x
  3. Step 3: Cross multiply
    735x = 1,014.02 × 513.86
  4. Step 4: Simplify right side
    735x = 521,064.32
  5. Step 5: Solve for x
    x = 521,064.32/735
  6. Step 6: Final answer
    x = 708.93

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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.