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Finding the Fourth Proportional to 830.94, 1,246.11 and 501.07

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Solution

The fourth proportional to 830.94, 1,246.11 and 501.07 is: 751.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.94 : 1,246.11 = 501.07 : x
  2. Step 2: Convert to fraction form
    830.94/1,246.11 = 501.07/x
  3. Step 3: Cross multiply
    830.94x = 1,246.11 × 501.07
  4. Step 4: Simplify right side
    830.94x = 624,385.83
  5. Step 5: Solve for x
    x = 624,385.83/830.94
  6. Step 6: Final answer
    x = 751.42

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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.