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Finding the Fourth Proportional to 975.42, 1,463.43 and 419.86

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Solution

The fourth proportional to 975.42, 1,463.43 and 419.86 is: 629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.42 : 1,463.43 = 419.86 : x
  2. Step 2: Convert to fraction form
    975.42/1,463.43 = 419.86/x
  3. Step 3: Cross multiply
    975.42x = 1,463.43 × 419.86
  4. Step 4: Simplify right side
    975.42x = 614,428.40
  5. Step 5: Solve for x
    x = 614,428.40/975.42
  6. Step 6: Final answer
    x = 629.91

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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.