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Finding the Fourth Proportional to 1,216.61, 1,825.42 and 476.74

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Solution

The fourth proportional to 1,216.61, 1,825.42 and 476.74 is: 715.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.61 : 1,825.42 = 476.74 : x
  2. Step 2: Convert to fraction form
    1,216.61/1,825.42 = 476.74/x
  3. Step 3: Cross multiply
    1,216.61x = 1,825.42 × 476.74
  4. Step 4: Simplify right side
    1,216.61x = 870,241.60
  5. Step 5: Solve for x
    x = 870,241.60/1,216.61
  6. Step 6: Final answer
    x = 715.30

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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.