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Finding the Fourth Proportional to 1,325.00, 1,828.50 and 765.45

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Solution

The fourth proportional to 1,325.00, 1,828.50 and 765.45 is: 1,056.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.00 : 1,828.50 = 765.45 : x
  2. Step 2: Convert to fraction form
    1,325.00/1,828.50 = 765.45/x
  3. Step 3: Cross multiply
    1,325.00x = 1,828.50 × 765.45
  4. Step 4: Simplify right side
    1,325.00x = 1,399,625.33
  5. Step 5: Solve for x
    x = 1,399,625.33/1,325.00
  6. Step 6: Final answer
    x = 1,056.32

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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.