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Finding the Fourth Proportional to 1,194.42, 1,647.90 and 775.08

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Solution

The fourth proportional to 1,194.42, 1,647.90 and 775.08 is: 1,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.42 : 1,647.90 = 775.08 : x
  2. Step 2: Convert to fraction form
    1,194.42/1,647.90 = 775.08/x
  3. Step 3: Cross multiply
    1,194.42x = 1,647.90 × 775.08
  4. Step 4: Simplify right side
    1,194.42x = 1,277,254.33
  5. Step 5: Solve for x
    x = 1,277,254.33/1,194.42
  6. Step 6: Final answer
    x = 1,069.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.