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Finding the Fourth Proportional to 1,206.95, 1,811.45 and 477.04

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Solution

The fourth proportional to 1,206.95, 1,811.45 and 477.04 is: 715.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.95 : 1,811.45 = 477.04 : x
  2. Step 2: Convert to fraction form
    1,206.95/1,811.45 = 477.04/x
  3. Step 3: Cross multiply
    1,206.95x = 1,811.45 × 477.04
  4. Step 4: Simplify right side
    1,206.95x = 864,128.98
  5. Step 5: Solve for x
    x = 864,128.98/1,206.95
  6. Step 6: Final answer
    x = 715.96

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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.