Home / 1,020.21-1,530.10-289.59

Finding the Fourth Proportional to 1,020.21, 1,530.10 and 289.59

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Solution

The fourth proportional to 1,020.21, 1,530.10 and 289.59 is: 434.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.21 : 1,530.10 = 289.59 : x
  2. Step 2: Convert to fraction form
    1,020.21/1,530.10 = 289.59/x
  3. Step 3: Cross multiply
    1,020.21x = 1,530.10 × 289.59
  4. Step 4: Simplify right side
    1,020.21x = 443,101.66
  5. Step 5: Solve for x
    x = 443,101.66/1,020.21
  6. Step 6: Final answer
    x = 434.32

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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.