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Finding the Fourth Proportional to 735.63, 1,014.84 and 514.70

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Solution

The fourth proportional to 735.63, 1,014.84 and 514.70 is: 710.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.63 : 1,014.84 = 514.70 : x
  2. Step 2: Convert to fraction form
    735.63/1,014.84 = 514.70/x
  3. Step 3: Cross multiply
    735.63x = 1,014.84 × 514.70
  4. Step 4: Simplify right side
    735.63x = 522,333.07
  5. Step 5: Solve for x
    x = 522,333.07/735.63
  6. Step 6: Final answer
    x = 710.05

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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.