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Finding the Fourth Proportional to 1,194.51, 1,648.35 and 775.10

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Solution

The fourth proportional to 1,194.51, 1,648.35 and 775.10 is: 1,069.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.51 : 1,648.35 = 775.10 : x
  2. Step 2: Convert to fraction form
    1,194.51/1,648.35 = 775.10/x
  3. Step 3: Cross multiply
    1,194.51x = 1,648.35 × 775.10
  4. Step 4: Simplify right side
    1,194.51x = 1,277,640.21
  5. Step 5: Solve for x
    x = 1,277,640.21/1,194.51
  6. Step 6: Final answer
    x = 1,069.59

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