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Finding the Fourth Proportional to 830.57, 1,246.04 and 282.79

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Solution

The fourth proportional to 830.57, 1,246.04 and 282.79 is: 424.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.57 : 1,246.04 = 282.79 : x
  2. Step 2: Convert to fraction form
    830.57/1,246.04 = 282.79/x
  3. Step 3: Cross multiply
    830.57x = 1,246.04 × 282.79
  4. Step 4: Simplify right side
    830.57x = 352,360.01
  5. Step 5: Solve for x
    x = 352,360.01/830.57
  6. Step 6: Final answer
    x = 424.24

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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.