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Finding the Fourth Proportional to 830.73, 1,245.67 and 282.76

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Solution

The fourth proportional to 830.73, 1,245.67 and 282.76 is: 424.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.73 : 1,245.67 = 282.76 : x
  2. Step 2: Convert to fraction form
    830.73/1,245.67 = 282.76/x
  3. Step 3: Cross multiply
    830.73x = 1,245.67 × 282.76
  4. Step 4: Simplify right side
    830.73x = 352,225.65
  5. Step 5: Solve for x
    x = 352,225.65/830.73
  6. Step 6: Final answer
    x = 424.00

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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.