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Finding the Fourth Proportional to 946.99, 1,420.43 and 419.74

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Solution

The fourth proportional to 946.99, 1,420.43 and 419.74 is: 629.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.99 : 1,420.43 = 419.74 : x
  2. Step 2: Convert to fraction form
    946.99/1,420.43 = 419.74/x
  3. Step 3: Cross multiply
    946.99x = 1,420.43 × 419.74
  4. Step 4: Simplify right side
    946.99x = 596,215.51
  5. Step 5: Solve for x
    x = 596,215.51/946.99
  6. Step 6: Final answer
    x = 629.59

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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.