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Finding the Fourth Proportional to 735.41, 1,014.70 and 499.40

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Solution

The fourth proportional to 735.41, 1,014.70 and 499.40 is: 689.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.41 : 1,014.70 = 499.40 : x
  2. Step 2: Convert to fraction form
    735.41/1,014.70 = 499.40/x
  3. Step 3: Cross multiply
    735.41x = 1,014.70 × 499.40
  4. Step 4: Simplify right side
    735.41x = 506,741.18
  5. Step 5: Solve for x
    x = 506,741.18/735.41
  6. Step 6: Final answer
    x = 689.06

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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.