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Finding the Fourth Proportional to 1,271.79, 1,903.95 and 964.85

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Solution

The fourth proportional to 1,271.79, 1,903.95 and 964.85 is: 1,444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.79 : 1,903.95 = 964.85 : x
  2. Step 2: Convert to fraction form
    1,271.79/1,903.95 = 964.85/x
  3. Step 3: Cross multiply
    1,271.79x = 1,903.95 × 964.85
  4. Step 4: Simplify right side
    1,271.79x = 1,837,016.64
  5. Step 5: Solve for x
    x = 1,837,016.64/1,271.79
  6. Step 6: Final answer
    x = 1,444.43

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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.