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Finding the Fourth Proportional to 830.98, 1,146.28 and 499.21

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Solution

The fourth proportional to 830.98, 1,146.28 and 499.21 is: 688.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.98 : 1,146.28 = 499.21 : x
  2. Step 2: Convert to fraction form
    830.98/1,146.28 = 499.21/x
  3. Step 3: Cross multiply
    830.98x = 1,146.28 × 499.21
  4. Step 4: Simplify right side
    830.98x = 572,234.44
  5. Step 5: Solve for x
    x = 572,234.44/830.98
  6. Step 6: Final answer
    x = 688.63

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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.