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Finding the Fourth Proportional to 1,199.35, 1,798.71 and 549.94

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Solution

The fourth proportional to 1,199.35, 1,798.71 and 549.94 is: 824.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.35 : 1,798.71 = 549.94 : x
  2. Step 2: Convert to fraction form
    1,199.35/1,798.71 = 549.94/x
  3. Step 3: Cross multiply
    1,199.35x = 1,798.71 × 549.94
  4. Step 4: Simplify right side
    1,199.35x = 989,182.58
  5. Step 5: Solve for x
    x = 989,182.58/1,199.35
  6. Step 6: Final answer
    x = 824.77

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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.