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Finding the Fourth Proportional to 1,305.08, 1,955.84 and 956.76

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Solution

The fourth proportional to 1,305.08, 1,955.84 and 956.76 is: 1,433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.08 : 1,955.84 = 956.76 : x
  2. Step 2: Convert to fraction form
    1,305.08/1,955.84 = 956.76/x
  3. Step 3: Cross multiply
    1,305.08x = 1,955.84 × 956.76
  4. Step 4: Simplify right side
    1,305.08x = 1,871,269.48
  5. Step 5: Solve for x
    x = 1,871,269.48/1,305.08
  6. Step 6: Final answer
    x = 1,433.84

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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.