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Finding the Fourth Proportional to 1,030.46, 1,545.73 and 299.98

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Solution

The fourth proportional to 1,030.46, 1,545.73 and 299.98 is: 449.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.46 : 1,545.73 = 299.98 : x
  2. Step 2: Convert to fraction form
    1,030.46/1,545.73 = 299.98/x
  3. Step 3: Cross multiply
    1,030.46x = 1,545.73 × 299.98
  4. Step 4: Simplify right side
    1,030.46x = 463,683.47
  5. Step 5: Solve for x
    x = 463,683.47/1,030.46
  6. Step 6: Final answer
    x = 449.98

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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.