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Finding the Fourth Proportional to 1,020.02, 1,529.84 and 289.68

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Solution

The fourth proportional to 1,020.02, 1,529.84 and 289.68 is: 434.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.02 : 1,529.84 = 289.68 : x
  2. Step 2: Convert to fraction form
    1,020.02/1,529.84 = 289.68/x
  3. Step 3: Cross multiply
    1,020.02x = 1,529.84 × 289.68
  4. Step 4: Simplify right side
    1,020.02x = 443,164.05
  5. Step 5: Solve for x
    x = 443,164.05/1,020.02
  6. Step 6: Final answer
    x = 434.47

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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.