Home / 1,030.14-1,545.44-299.78

Finding the Fourth Proportional to 1,030.14, 1,545.44 and 299.78

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Solution

The fourth proportional to 1,030.14, 1,545.44 and 299.78 is: 449.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.14 : 1,545.44 = 299.78 : x
  2. Step 2: Convert to fraction form
    1,030.14/1,545.44 = 299.78/x
  3. Step 3: Cross multiply
    1,030.14x = 1,545.44 × 299.78
  4. Step 4: Simplify right side
    1,030.14x = 463,292.00
  5. Step 5: Solve for x
    x = 463,292.00/1,030.14
  6. Step 6: Final answer
    x = 449.74

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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.