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Finding the Fourth Proportional to 1,020.29, 1,530.32 and 289.86

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Solution

The fourth proportional to 1,020.29, 1,530.32 and 289.86 is: 434.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.29 : 1,530.32 = 289.86 : x
  2. Step 2: Convert to fraction form
    1,020.29/1,530.32 = 289.86/x
  3. Step 3: Cross multiply
    1,020.29x = 1,530.32 × 289.86
  4. Step 4: Simplify right side
    1,020.29x = 443,577.11
  5. Step 5: Solve for x
    x = 443,577.11/1,020.29
  6. Step 6: Final answer
    x = 434.76

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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.