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Finding the Fourth Proportional to 830.00, 1,144.92 and 518.96

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Solution

The fourth proportional to 830.00, 1,144.92 and 518.96 is: 715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.00 : 1,144.92 = 518.96 : x
  2. Step 2: Convert to fraction form
    830.00/1,144.92 = 518.96/x
  3. Step 3: Cross multiply
    830.00x = 1,144.92 × 518.96
  4. Step 4: Simplify right side
    830.00x = 594,159.36
  5. Step 5: Solve for x
    x = 594,159.36/830.00
  6. Step 6: Final answer
    x = 715.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.