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Finding the Fourth Proportional to 1,734.74, 2,602.04 and 436.22

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Solution

The fourth proportional to 1,734.74, 2,602.04 and 436.22 is: 654.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.74 : 2,602.04 = 436.22 : x
  2. Step 2: Convert to fraction form
    1,734.74/2,602.04 = 436.22/x
  3. Step 3: Cross multiply
    1,734.74x = 2,602.04 × 436.22
  4. Step 4: Simplify right side
    1,734.74x = 1,135,061.89
  5. Step 5: Solve for x
    x = 1,135,061.89/1,734.74
  6. Step 6: Final answer
    x = 654.31

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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.