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Finding the Fourth Proportional to 1,476.41, 2,214.60 and 654.46

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Solution

The fourth proportional to 1,476.41, 2,214.60 and 654.46 is: 981.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.41 : 2,214.60 = 654.46 : x
  2. Step 2: Convert to fraction form
    1,476.41/2,214.60 = 654.46/x
  3. Step 3: Cross multiply
    1,476.41x = 2,214.60 × 654.46
  4. Step 4: Simplify right side
    1,476.41x = 1,449,356.04
  5. Step 5: Solve for x
    x = 1,449,356.04/1,476.41
  6. Step 6: Final answer
    x = 981.68

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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.