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Finding the Fourth Proportional to 1,164.78, 1,745.08 and 608.78

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Solution

The fourth proportional to 1,164.78, 1,745.08 and 608.78 is: 912.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.78 : 1,745.08 = 608.78 : x
  2. Step 2: Convert to fraction form
    1,164.78/1,745.08 = 608.78/x
  3. Step 3: Cross multiply
    1,164.78x = 1,745.08 × 608.78
  4. Step 4: Simplify right side
    1,164.78x = 1,062,372.64
  5. Step 5: Solve for x
    x = 1,062,372.64/1,164.78
  6. Step 6: Final answer
    x = 912.08

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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.