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Finding the Fourth Proportional to 1,306.95, 1,958.60 and 576.14

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Solution

The fourth proportional to 1,306.95, 1,958.60 and 576.14 is: 863.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.95 : 1,958.60 = 576.14 : x
  2. Step 2: Convert to fraction form
    1,306.95/1,958.60 = 576.14/x
  3. Step 3: Cross multiply
    1,306.95x = 1,958.60 × 576.14
  4. Step 4: Simplify right side
    1,306.95x = 1,128,415.13
  5. Step 5: Solve for x
    x = 1,128,415.13/1,306.95
  6. Step 6: Final answer
    x = 863.40

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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.