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Finding the Fourth Proportional to 1,655.09, 2,482.20 and 484.82

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Solution

The fourth proportional to 1,655.09, 2,482.20 and 484.82 is: 727.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.09 : 2,482.20 = 484.82 : x
  2. Step 2: Convert to fraction form
    1,655.09/2,482.20 = 484.82/x
  3. Step 3: Cross multiply
    1,655.09x = 2,482.20 × 484.82
  4. Step 4: Simplify right side
    1,655.09x = 1,203,420.20
  5. Step 5: Solve for x
    x = 1,203,420.20/1,655.09
  6. Step 6: Final answer
    x = 727.10

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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.