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Finding the Fourth Proportional to 830.52, 1,244.74 and 419.76

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Solution

The fourth proportional to 830.52, 1,244.74 and 419.76 is: 629.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.52 : 1,244.74 = 419.76 : x
  2. Step 2: Convert to fraction form
    830.52/1,244.74 = 419.76/x
  3. Step 3: Cross multiply
    830.52x = 1,244.74 × 419.76
  4. Step 4: Simplify right side
    830.52x = 522,483.74
  5. Step 5: Solve for x
    x = 522,483.74/830.52
  6. Step 6: Final answer
    x = 629.11

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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.