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Finding the Fourth Proportional to 1,152.36, 1,727.58 and 829.80

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Solution

The fourth proportional to 1,152.36, 1,727.58 and 829.80 is: 1,244.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.36 : 1,727.58 = 829.80 : x
  2. Step 2: Convert to fraction form
    1,152.36/1,727.58 = 829.80/x
  3. Step 3: Cross multiply
    1,152.36x = 1,727.58 × 829.80
  4. Step 4: Simplify right side
    1,152.36x = 1,433,545.88
  5. Step 5: Solve for x
    x = 1,433,545.88/1,152.36
  6. Step 6: Final answer
    x = 1,244.01

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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.