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Finding the Fourth Proportional to 1,205.04, 1,807.83 and 474.42

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Solution

The fourth proportional to 1,205.04, 1,807.83 and 474.42 is: 711.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.04 : 1,807.83 = 474.42 : x
  2. Step 2: Convert to fraction form
    1,205.04/1,807.83 = 474.42/x
  3. Step 3: Cross multiply
    1,205.04x = 1,807.83 × 474.42
  4. Step 4: Simplify right side
    1,205.04x = 857,670.71
  5. Step 5: Solve for x
    x = 857,670.71/1,205.04
  6. Step 6: Final answer
    x = 711.74

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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.