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Finding the Fourth Proportional to 1,092.48, 1,506.72 and 829.92

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Solution

The fourth proportional to 1,092.48, 1,506.72 and 829.92 is: 1,144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.48 : 1,506.72 = 829.92 : x
  2. Step 2: Convert to fraction form
    1,092.48/1,506.72 = 829.92/x
  3. Step 3: Cross multiply
    1,092.48x = 1,506.72 × 829.92
  4. Step 4: Simplify right side
    1,092.48x = 1,250,457.06
  5. Step 5: Solve for x
    x = 1,250,457.06/1,092.48
  6. Step 6: Final answer
    x = 1,144.60

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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.