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Finding the Fourth Proportional to 1,220.42, 1,684.44 and 973.69

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Solution

The fourth proportional to 1,220.42, 1,684.44 and 973.69 is: 1,343.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.42 : 1,684.44 = 973.69 : x
  2. Step 2: Convert to fraction form
    1,220.42/1,684.44 = 973.69/x
  3. Step 3: Cross multiply
    1,220.42x = 1,684.44 × 973.69
  4. Step 4: Simplify right side
    1,220.42x = 1,640,118.17
  5. Step 5: Solve for x
    x = 1,640,118.17/1,220.42
  6. Step 6: Final answer
    x = 1,343.89

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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.