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Finding the Fourth Proportional to 1,055.89, 1,584.06 and 363.07

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Solution

The fourth proportional to 1,055.89, 1,584.06 and 363.07 is: 544.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.89 : 1,584.06 = 363.07 : x
  2. Step 2: Convert to fraction form
    1,055.89/1,584.06 = 363.07/x
  3. Step 3: Cross multiply
    1,055.89x = 1,584.06 × 363.07
  4. Step 4: Simplify right side
    1,055.89x = 575,124.66
  5. Step 5: Solve for x
    x = 575,124.66/1,055.89
  6. Step 6: Final answer
    x = 544.68

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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.