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Finding the Fourth Proportional to 1,020.72, 1,530.85 and 290.28

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Solution

The fourth proportional to 1,020.72, 1,530.85 and 290.28 is: 435.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.72 : 1,530.85 = 290.28 : x
  2. Step 2: Convert to fraction form
    1,020.72/1,530.85 = 290.28/x
  3. Step 3: Cross multiply
    1,020.72x = 1,530.85 × 290.28
  4. Step 4: Simplify right side
    1,020.72x = 444,375.14
  5. Step 5: Solve for x
    x = 444,375.14/1,020.72
  6. Step 6: Final answer
    x = 435.35

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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.