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Finding the Fourth Proportional to 1,029.05, 1,543.58 and 298.63

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Solution

The fourth proportional to 1,029.05, 1,543.58 and 298.63 is: 447.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.05 : 1,543.58 = 298.63 : x
  2. Step 2: Convert to fraction form
    1,029.05/1,543.58 = 298.63/x
  3. Step 3: Cross multiply
    1,029.05x = 1,543.58 × 298.63
  4. Step 4: Simplify right side
    1,029.05x = 460,959.30
  5. Step 5: Solve for x
    x = 460,959.30/1,029.05
  6. Step 6: Final answer
    x = 447.95

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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.