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Finding the Fourth Proportional to 1,055.79, 1,584.41 and 406.53

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Solution

The fourth proportional to 1,055.79, 1,584.41 and 406.53 is: 610.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.79 : 1,584.41 = 406.53 : x
  2. Step 2: Convert to fraction form
    1,055.79/1,584.41 = 406.53/x
  3. Step 3: Cross multiply
    1,055.79x = 1,584.41 × 406.53
  4. Step 4: Simplify right side
    1,055.79x = 644,110.20
  5. Step 5: Solve for x
    x = 644,110.20/1,055.79
  6. Step 6: Final answer
    x = 610.07

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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.