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Finding the Fourth Proportional to 1,343, 2,014.05 and 465.16

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Solution

The fourth proportional to 1,343, 2,014.05 and 465.16 is: 697.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343 : 2,014.05 = 465.16 : x
  2. Step 2: Convert to fraction form
    1,343/2,014.05 = 465.16/x
  3. Step 3: Cross multiply
    1,343x = 2,014.05 × 465.16
  4. Step 4: Simplify right side
    1,343x = 936,855.50
  5. Step 5: Solve for x
    x = 936,855.50/1,343
  6. Step 6: Final answer
    x = 697.58

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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.