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Finding the Fourth Proportional to 804.51, 1,206.63 and 342.05

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Solution

The fourth proportional to 804.51, 1,206.63 and 342.05 is: 513.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.51 : 1,206.63 = 342.05 : x
  2. Step 2: Convert to fraction form
    804.51/1,206.63 = 342.05/x
  3. Step 3: Cross multiply
    804.51x = 1,206.63 × 342.05
  4. Step 4: Simplify right side
    804.51x = 412,721.76
  5. Step 5: Solve for x
    x = 412,721.76/804.51
  6. Step 6: Final answer
    x = 513.01

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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.