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Finding the Fourth Proportional to 1,216.19, 1,820.84 and 945.45

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Solution

The fourth proportional to 1,216.19, 1,820.84 and 945.45 is: 1,415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.19 : 1,820.84 = 945.45 : x
  2. Step 2: Convert to fraction form
    1,216.19/1,820.84 = 945.45/x
  3. Step 3: Cross multiply
    1,216.19x = 1,820.84 × 945.45
  4. Step 4: Simplify right side
    1,216.19x = 1,721,506.94
  5. Step 5: Solve for x
    x = 1,721,506.94/1,216.19
  6. Step 6: Final answer
    x = 1,415.49

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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.