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Finding the Fourth Proportional to 1,429.56, 2,144.66 and 607.86

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Solution

The fourth proportional to 1,429.56, 2,144.66 and 607.86 is: 911.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.56 : 2,144.66 = 607.86 : x
  2. Step 2: Convert to fraction form
    1,429.56/2,144.66 = 607.86/x
  3. Step 3: Cross multiply
    1,429.56x = 2,144.66 × 607.86
  4. Step 4: Simplify right side
    1,429.56x = 1,303,653.03
  5. Step 5: Solve for x
    x = 1,303,653.03/1,429.56
  6. Step 6: Final answer
    x = 911.93

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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.