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Finding the Fourth Proportional to 1,206.42, 1,808.40 and 474.98

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Solution

The fourth proportional to 1,206.42, 1,808.40 and 474.98 is: 711.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.42 : 1,808.40 = 474.98 : x
  2. Step 2: Convert to fraction form
    1,206.42/1,808.40 = 474.98/x
  3. Step 3: Cross multiply
    1,206.42x = 1,808.40 × 474.98
  4. Step 4: Simplify right side
    1,206.42x = 858,953.83
  5. Step 5: Solve for x
    x = 858,953.83/1,206.42
  6. Step 6: Final answer
    x = 711.99

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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.