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Finding the Fourth Proportional to 1,734.76, 2,602.16 and 436.20

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Solution

The fourth proportional to 1,734.76, 2,602.16 and 436.20 is: 654.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.76 : 2,602.16 = 436.20 : x
  2. Step 2: Convert to fraction form
    1,734.76/2,602.16 = 436.20/x
  3. Step 3: Cross multiply
    1,734.76x = 2,602.16 × 436.20
  4. Step 4: Simplify right side
    1,734.76x = 1,135,062.19
  5. Step 5: Solve for x
    x = 1,135,062.19/1,734.76
  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.