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Finding the Fourth Proportional to 1,020.58, 1,530.66 and 289.96

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Solution

The fourth proportional to 1,020.58, 1,530.66 and 289.96 is: 434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.58 : 1,530.66 = 289.96 : x
  2. Step 2: Convert to fraction form
    1,020.58/1,530.66 = 289.96/x
  3. Step 3: Cross multiply
    1,020.58x = 1,530.66 × 289.96
  4. Step 4: Simplify right side
    1,020.58x = 443,828.72
  5. Step 5: Solve for x
    x = 443,828.72/1,020.58
  6. Step 6: Final answer
    x = 434.88

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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.