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Finding the Fourth Proportional to 735.10, 1,014.70 and 500.26

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Solution

The fourth proportional to 735.10, 1,014.70 and 500.26 is: 690.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.10 : 1,014.70 = 500.26 : x
  2. Step 2: Convert to fraction form
    735.10/1,014.70 = 500.26/x
  3. Step 3: Cross multiply
    735.10x = 1,014.70 × 500.26
  4. Step 4: Simplify right side
    735.10x = 507,613.82
  5. Step 5: Solve for x
    x = 507,613.82/735.10
  6. Step 6: Final answer
    x = 690.54

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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.