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Finding the Fourth Proportional to 1,325.45, 1,829.10 and 765.90

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Solution

The fourth proportional to 1,325.45, 1,829.10 and 765.90 is: 1,056.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.45 : 1,829.10 = 765.90 : x
  2. Step 2: Convert to fraction form
    1,325.45/1,829.10 = 765.90/x
  3. Step 3: Cross multiply
    1,325.45x = 1,829.10 × 765.90
  4. Step 4: Simplify right side
    1,325.45x = 1,400,907.69
  5. Step 5: Solve for x
    x = 1,400,907.69/1,325.45
  6. Step 6: Final answer
    x = 1,056.93

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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.