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Finding the Fourth Proportional to 735.85, 1,014.75 and 595.87

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Solution

The fourth proportional to 735.85, 1,014.75 and 595.87 is: 821.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.85 : 1,014.75 = 595.87 : x
  2. Step 2: Convert to fraction form
    735.85/1,014.75 = 595.87/x
  3. Step 3: Cross multiply
    735.85x = 1,014.75 × 595.87
  4. Step 4: Simplify right side
    735.85x = 604,659.08
  5. Step 5: Solve for x
    x = 604,659.08/735.85
  6. Step 6: Final answer
    x = 821.72

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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.