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Finding the Fourth Proportional to 1,655.68, 2,482.97 and 559.88

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Solution

The fourth proportional to 1,655.68, 2,482.97 and 559.88 is: 839.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.68 : 2,482.97 = 559.88 : x
  2. Step 2: Convert to fraction form
    1,655.68/2,482.97 = 559.88/x
  3. Step 3: Cross multiply
    1,655.68x = 2,482.97 × 559.88
  4. Step 4: Simplify right side
    1,655.68x = 1,390,165.24
  5. Step 5: Solve for x
    x = 1,390,165.24/1,655.68
  6. Step 6: Final answer
    x = 839.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.