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Finding the Fourth Proportional to 737.79, 1,106.63 and 286.95

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Solution

The fourth proportional to 737.79, 1,106.63 and 286.95 is: 430.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.79 : 1,106.63 = 286.95 : x
  2. Step 2: Convert to fraction form
    737.79/1,106.63 = 286.95/x
  3. Step 3: Cross multiply
    737.79x = 1,106.63 × 286.95
  4. Step 4: Simplify right side
    737.79x = 317,546.04
  5. Step 5: Solve for x
    x = 317,546.04/737.79
  6. Step 6: Final answer
    x = 430.40

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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.