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Finding the Fourth Proportional to 830.45, 1,243.92 and 782.58

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Solution

The fourth proportional to 830.45, 1,243.92 and 782.58 is: 1,172.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.45 : 1,243.92 = 782.58 : x
  2. Step 2: Convert to fraction form
    830.45/1,243.92 = 782.58/x
  3. Step 3: Cross multiply
    830.45x = 1,243.92 × 782.58
  4. Step 4: Simplify right side
    830.45x = 973,466.91
  5. Step 5: Solve for x
    x = 973,466.91/830.45
  6. Step 6: Final answer
    x = 1,172.22

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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.