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Finding the Fourth Proportional to 1,164.16, 1,745.79 and 342.17

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Solution

The fourth proportional to 1,164.16, 1,745.79 and 342.17 is: 513.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.16 : 1,745.79 = 342.17 : x
  2. Step 2: Convert to fraction form
    1,164.16/1,745.79 = 342.17/x
  3. Step 3: Cross multiply
    1,164.16x = 1,745.79 × 342.17
  4. Step 4: Simplify right side
    1,164.16x = 597,356.96
  5. Step 5: Solve for x
    x = 597,356.96/1,164.16
  6. Step 6: Final answer
    x = 513.12

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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.