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Finding the Fourth Proportional to 1,164.22, 1,746.25 and 342.47

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Solution

The fourth proportional to 1,164.22, 1,746.25 and 342.47 is: 513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.22 : 1,746.25 = 342.47 : x
  2. Step 2: Convert to fraction form
    1,164.22/1,746.25 = 342.47/x
  3. Step 3: Cross multiply
    1,164.22x = 1,746.25 × 342.47
  4. Step 4: Simplify right side
    1,164.22x = 598,038.24
  5. Step 5: Solve for x
    x = 598,038.24/1,164.22
  6. Step 6: Final answer
    x = 513.68

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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.