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Finding the Fourth Proportional to 1,055.59, 1,584.90 and 749.41

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Solution

The fourth proportional to 1,055.59, 1,584.90 and 749.41 is: 1,125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.59 : 1,584.90 = 749.41 : x
  2. Step 2: Convert to fraction form
    1,055.59/1,584.90 = 749.41/x
  3. Step 3: Cross multiply
    1,055.59x = 1,584.90 × 749.41
  4. Step 4: Simplify right side
    1,055.59x = 1,187,735.95
  5. Step 5: Solve for x
    x = 1,187,735.95/1,055.59
  6. Step 6: Final answer
    x = 1,125.19

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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.