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Finding the Fourth Proportional to 1,205, 1,807.42 and 464.42

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Solution

The fourth proportional to 1,205, 1,807.42 and 464.42 is: 696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205 : 1,807.42 = 464.42 : x
  2. Step 2: Convert to fraction form
    1,205/1,807.42 = 464.42/x
  3. Step 3: Cross multiply
    1,205x = 1,807.42 × 464.42
  4. Step 4: Simplify right side
    1,205x = 839,402.00
  5. Step 5: Solve for x
    x = 839,402.00/1,205
  6. Step 6: Final answer
    x = 696.60

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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.