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Finding the Fourth Proportional to 1,164.24, 1,746.64 and 342.54

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Solution

The fourth proportional to 1,164.24, 1,746.64 and 342.54 is: 513.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.24 : 1,746.64 = 342.54 : x
  2. Step 2: Convert to fraction form
    1,164.24/1,746.64 = 342.54/x
  3. Step 3: Cross multiply
    1,164.24x = 1,746.64 × 342.54
  4. Step 4: Simplify right side
    1,164.24x = 598,294.07
  5. Step 5: Solve for x
    x = 598,294.07/1,164.24
  6. Step 6: Final answer
    x = 513.89

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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.