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Finding the Fourth Proportional to 1,030.30, 1,545.42 and 299.89

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Solution

The fourth proportional to 1,030.30, 1,545.42 and 299.89 is: 449.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.30 : 1,545.42 = 299.89 : x
  2. Step 2: Convert to fraction form
    1,030.30/1,545.42 = 299.89/x
  3. Step 3: Cross multiply
    1,030.30x = 1,545.42 × 299.89
  4. Step 4: Simplify right side
    1,030.30x = 463,456.00
  5. Step 5: Solve for x
    x = 463,456.00/1,030.30
  6. Step 6: Final answer
    x = 449.83

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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.