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Finding the Fourth Proportional to 1,164.40, 1,746.74 and 342.66

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Solution

The fourth proportional to 1,164.40, 1,746.74 and 342.66 is: 514.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.40 : 1,746.74 = 342.66 : x
  2. Step 2: Convert to fraction form
    1,164.40/1,746.74 = 342.66/x
  3. Step 3: Cross multiply
    1,164.40x = 1,746.74 × 342.66
  4. Step 4: Simplify right side
    1,164.40x = 598,537.93
  5. Step 5: Solve for x
    x = 598,537.93/1,164.40
  6. Step 6: Final answer
    x = 514.03

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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.