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Finding the Fourth Proportional to 1,654.98, 2,482.82 and 559.32

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Solution

The fourth proportional to 1,654.98, 2,482.82 and 559.32 is: 839.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.98 : 2,482.82 = 559.32 : x
  2. Step 2: Convert to fraction form
    1,654.98/2,482.82 = 559.32/x
  3. Step 3: Cross multiply
    1,654.98x = 2,482.82 × 559.32
  4. Step 4: Simplify right side
    1,654.98x = 1,388,682.45
  5. Step 5: Solve for x
    x = 1,388,682.45/1,654.98
  6. Step 6: Final answer
    x = 839.10

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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.