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Finding the Fourth Proportional to 1,196.36, 1,794.93 and 503.24

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Solution

The fourth proportional to 1,196.36, 1,794.93 and 503.24 is: 755.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.36 : 1,794.93 = 503.24 : x
  2. Step 2: Convert to fraction form
    1,196.36/1,794.93 = 503.24/x
  3. Step 3: Cross multiply
    1,196.36x = 1,794.93 × 503.24
  4. Step 4: Simplify right side
    1,196.36x = 903,271.60
  5. Step 5: Solve for x
    x = 903,271.60/1,196.36
  6. Step 6: Final answer
    x = 755.02

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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.