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Finding the Fourth Proportional to 1,199.02, 1,799.20 and 549.76

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Solution

The fourth proportional to 1,199.02, 1,799.20 and 549.76 is: 824.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.02 : 1,799.20 = 549.76 : x
  2. Step 2: Convert to fraction form
    1,199.02/1,799.20 = 549.76/x
  3. Step 3: Cross multiply
    1,199.02x = 1,799.20 × 549.76
  4. Step 4: Simplify right side
    1,199.02x = 989,128.19
  5. Step 5: Solve for x
    x = 989,128.19/1,199.02
  6. Step 6: Final answer
    x = 824.95

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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.