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Finding the Fourth Proportional to 1,020.55, 1,530.81 and 290.11

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Solution

The fourth proportional to 1,020.55, 1,530.81 and 290.11 is: 435.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.55 : 1,530.81 = 290.11 : x
  2. Step 2: Convert to fraction form
    1,020.55/1,530.81 = 290.11/x
  3. Step 3: Cross multiply
    1,020.55x = 1,530.81 × 290.11
  4. Step 4: Simplify right side
    1,020.55x = 444,103.29
  5. Step 5: Solve for x
    x = 444,103.29/1,020.55
  6. Step 6: Final answer
    x = 435.16

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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.