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Finding the Fourth Proportional to 1,096.93, 1,645.40 and 366.50

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Solution

The fourth proportional to 1,096.93, 1,645.40 and 366.50 is: 549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.93 : 1,645.40 = 366.50 : x
  2. Step 2: Convert to fraction form
    1,096.93/1,645.40 = 366.50/x
  3. Step 3: Cross multiply
    1,096.93x = 1,645.40 × 366.50
  4. Step 4: Simplify right side
    1,096.93x = 603,039.10
  5. Step 5: Solve for x
    x = 603,039.10/1,096.93
  6. Step 6: Final answer
    x = 549.75

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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.