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Finding the Fourth Proportional to 1,712.00, 2,362.58 and 965.99

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Solution

The fourth proportional to 1,712.00, 2,362.58 and 965.99 is: 1,333.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.00 : 2,362.58 = 965.99 : x
  2. Step 2: Convert to fraction form
    1,712.00/2,362.58 = 965.99/x
  3. Step 3: Cross multiply
    1,712.00x = 2,362.58 × 965.99
  4. Step 4: Simplify right side
    1,712.00x = 2,282,212.01
  5. Step 5: Solve for x
    x = 2,282,212.01/1,712.00
  6. Step 6: Final answer
    x = 1,333.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.