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Finding the Fourth Proportional to 830.10, 1,244.00 and 419.51

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Solution

The fourth proportional to 830.10, 1,244.00 and 419.51 is: 628.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.10 : 1,244.00 = 419.51 : x
  2. Step 2: Convert to fraction form
    830.10/1,244.00 = 419.51/x
  3. Step 3: Cross multiply
    830.10x = 1,244.00 × 419.51
  4. Step 4: Simplify right side
    830.10x = 521,865.27
  5. Step 5: Solve for x
    x = 521,865.27/830.10
  6. Step 6: Final answer
    x = 628.68

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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.