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Finding the Fourth Proportional to 1,346.77, 2,019.29 and 643.69

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Solution

The fourth proportional to 1,346.77, 2,019.29 and 643.69 is: 965.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.77 : 2,019.29 = 643.69 : x
  2. Step 2: Convert to fraction form
    1,346.77/2,019.29 = 643.69/x
  3. Step 3: Cross multiply
    1,346.77x = 2,019.29 × 643.69
  4. Step 4: Simplify right side
    1,346.77x = 1,299,783.47
  5. Step 5: Solve for x
    x = 1,299,783.47/1,346.77
  6. Step 6: Final answer
    x = 965.12

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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.