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Finding the Fourth Proportional to 1,340.46, 2,011.08 and 474.84

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Solution

The fourth proportional to 1,340.46, 2,011.08 and 474.84 is: 712.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.46 : 2,011.08 = 474.84 : x
  2. Step 2: Convert to fraction form
    1,340.46/2,011.08 = 474.84/x
  3. Step 3: Cross multiply
    1,340.46x = 2,011.08 × 474.84
  4. Step 4: Simplify right side
    1,340.46x = 954,941.23
  5. Step 5: Solve for x
    x = 954,941.23/1,340.46
  6. Step 6: Final answer
    x = 712.40

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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.