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Finding the Fourth Proportional to 1,020.65, 1,529.96 and 404.13

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Solution

The fourth proportional to 1,020.65, 1,529.96 and 404.13 is: 605.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.65 : 1,529.96 = 404.13 : x
  2. Step 2: Convert to fraction form
    1,020.65/1,529.96 = 404.13/x
  3. Step 3: Cross multiply
    1,020.65x = 1,529.96 × 404.13
  4. Step 4: Simplify right side
    1,020.65x = 618,300.71
  5. Step 5: Solve for x
    x = 618,300.71/1,020.65
  6. Step 6: Final answer
    x = 605.79

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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.