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Finding the Fourth Proportional to 735.04, 1,014.60 and 514

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Solution

The fourth proportional to 735.04, 1,014.60 and 514 is: 709.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.04 : 1,014.60 = 514 : x
  2. Step 2: Convert to fraction form
    735.04/1,014.60 = 514/x
  3. Step 3: Cross multiply
    735.04x = 1,014.60 × 514
  4. Step 4: Simplify right side
    735.04x = 521,504.40
  5. Step 5: Solve for x
    x = 521,504.40/735.04
  6. Step 6: Final answer
    x = 709.49

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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.