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Finding the Fourth Proportional to 735.58, 1,014.72 and 499.24

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Solution

The fourth proportional to 735.58, 1,014.72 and 499.24 is: 688.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.58 : 1,014.72 = 499.24 : x
  2. Step 2: Convert to fraction form
    735.58/1,014.72 = 499.24/x
  3. Step 3: Cross multiply
    735.58x = 1,014.72 × 499.24
  4. Step 4: Simplify right side
    735.58x = 506,583.74
  5. Step 5: Solve for x
    x = 506,583.74/735.58
  6. Step 6: Final answer
    x = 688.69

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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.