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Finding the Fourth Proportional to 1,308.51, 1,960.46 and 690.86

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Solution

The fourth proportional to 1,308.51, 1,960.46 and 690.86 is: 1,035.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.51 : 1,960.46 = 690.86 : x
  2. Step 2: Convert to fraction form
    1,308.51/1,960.46 = 690.86/x
  3. Step 3: Cross multiply
    1,308.51x = 1,960.46 × 690.86
  4. Step 4: Simplify right side
    1,308.51x = 1,354,390.14
  5. Step 5: Solve for x
    x = 1,354,390.14/1,308.51
  6. Step 6: Final answer
    x = 1,035.06

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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.