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Finding the Fourth Proportional to 1,409.64, 1,945.45 and 820.50

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Solution

The fourth proportional to 1,409.64, 1,945.45 and 820.50 is: 1,132.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.64 : 1,945.45 = 820.50 : x
  2. Step 2: Convert to fraction form
    1,409.64/1,945.45 = 820.50/x
  3. Step 3: Cross multiply
    1,409.64x = 1,945.45 × 820.50
  4. Step 4: Simplify right side
    1,409.64x = 1,596,241.73
  5. Step 5: Solve for x
    x = 1,596,241.73/1,409.64
  6. Step 6: Final answer
    x = 1,132.38

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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.