Home / 1,030.12-1,545.20-299.72

Finding the Fourth Proportional to 1,030.12, 1,545.20 and 299.72

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Solution

The fourth proportional to 1,030.12, 1,545.20 and 299.72 is: 449.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.12 : 1,545.20 = 299.72 : x
  2. Step 2: Convert to fraction form
    1,030.12/1,545.20 = 299.72/x
  3. Step 3: Cross multiply
    1,030.12x = 1,545.20 × 299.72
  4. Step 4: Simplify right side
    1,030.12x = 463,127.34
  5. Step 5: Solve for x
    x = 463,127.34/1,030.12
  6. Step 6: Final answer
    x = 449.59

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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.