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Finding the Fourth Proportional to 1,407.36, 2,108.88 and 829.60

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Solution

The fourth proportional to 1,407.36, 2,108.88 and 829.60 is: 1,243.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.36 : 2,108.88 = 829.60 : x
  2. Step 2: Convert to fraction form
    1,407.36/2,108.88 = 829.60/x
  3. Step 3: Cross multiply
    1,407.36x = 2,108.88 × 829.60
  4. Step 4: Simplify right side
    1,407.36x = 1,749,526.85
  5. Step 5: Solve for x
    x = 1,749,526.85/1,407.36
  6. Step 6: Final answer
    x = 1,243.13

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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.