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Finding the Fourth Proportional to 830.90, 1,246.05 and 282.94

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Solution

The fourth proportional to 830.90, 1,246.05 and 282.94 is: 424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.90 : 1,246.05 = 282.94 : x
  2. Step 2: Convert to fraction form
    830.90/1,246.05 = 282.94/x
  3. Step 3: Cross multiply
    830.90x = 1,246.05 × 282.94
  4. Step 4: Simplify right side
    830.90x = 352,554.27
  5. Step 5: Solve for x
    x = 352,554.27/830.90
  6. Step 6: Final answer
    x = 424.30

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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.