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Finding the Fourth Proportional to 1,407.30, 2,111.22 and 829.50

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Solution

The fourth proportional to 1,407.30, 2,111.22 and 829.50 is: 1,244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.30 : 2,111.22 = 829.50 : x
  2. Step 2: Convert to fraction form
    1,407.30/2,111.22 = 829.50/x
  3. Step 3: Cross multiply
    1,407.30x = 2,111.22 × 829.50
  4. Step 4: Simplify right side
    1,407.30x = 1,751,256.99
  5. Step 5: Solve for x
    x = 1,751,256.99/1,407.30
  6. Step 6: Final answer
    x = 1,244.41

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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.