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Finding the Fourth Proportional to 684.02, 1,026.04 and 299.18

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Solution

The fourth proportional to 684.02, 1,026.04 and 299.18 is: 448.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.02 : 1,026.04 = 299.18 : x
  2. Step 2: Convert to fraction form
    684.02/1,026.04 = 299.18/x
  3. Step 3: Cross multiply
    684.02x = 1,026.04 × 299.18
  4. Step 4: Simplify right side
    684.02x = 306,970.65
  5. Step 5: Solve for x
    x = 306,970.65/684.02
  6. Step 6: Final answer
    x = 448.77

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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.