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Finding the Fourth Proportional to 1,306.16, 1,959.40 and 440.72

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Solution

The fourth proportional to 1,306.16, 1,959.40 and 440.72 is: 661.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.16 : 1,959.40 = 440.72 : x
  2. Step 2: Convert to fraction form
    1,306.16/1,959.40 = 440.72/x
  3. Step 3: Cross multiply
    1,306.16x = 1,959.40 × 440.72
  4. Step 4: Simplify right side
    1,306.16x = 863,546.77
  5. Step 5: Solve for x
    x = 863,546.77/1,306.16
  6. Step 6: Final answer
    x = 661.13

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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.