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Finding the Fourth Proportional to 1,021.65, 1,532.52 and 405.42

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Solution

The fourth proportional to 1,021.65, 1,532.52 and 405.42 is: 608.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.65 : 1,532.52 = 405.42 : x
  2. Step 2: Convert to fraction form
    1,021.65/1,532.52 = 405.42/x
  3. Step 3: Cross multiply
    1,021.65x = 1,532.52 × 405.42
  4. Step 4: Simplify right side
    1,021.65x = 621,314.26
  5. Step 5: Solve for x
    x = 621,314.26/1,021.65
  6. Step 6: Final answer
    x = 608.15

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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.