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Finding the Fourth Proportional to 1,029.94, 1,545.20 and 299.58

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Solution

The fourth proportional to 1,029.94, 1,545.20 and 299.58 is: 449.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.94 : 1,545.20 = 299.58 : x
  2. Step 2: Convert to fraction form
    1,029.94/1,545.20 = 299.58/x
  3. Step 3: Cross multiply
    1,029.94x = 1,545.20 × 299.58
  4. Step 4: Simplify right side
    1,029.94x = 462,911.02
  5. Step 5: Solve for x
    x = 462,911.02/1,029.94
  6. Step 6: Final answer
    x = 449.45

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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.