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Finding the Fourth Proportional to 830.60, 1,244.52 and 504.98

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Solution

The fourth proportional to 830.60, 1,244.52 and 504.98 is: 756.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.60 : 1,244.52 = 504.98 : x
  2. Step 2: Convert to fraction form
    830.60/1,244.52 = 504.98/x
  3. Step 3: Cross multiply
    830.60x = 1,244.52 × 504.98
  4. Step 4: Simplify right side
    830.60x = 628,457.71
  5. Step 5: Solve for x
    x = 628,457.71/830.60
  6. Step 6: Final answer
    x = 756.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.