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Finding the Fourth Proportional to 1,605.72, 2,411.32 and 993.04

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Solution

The fourth proportional to 1,605.72, 2,411.32 and 993.04 is: 1,491.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.72 : 2,411.32 = 993.04 : x
  2. Step 2: Convert to fraction form
    1,605.72/2,411.32 = 993.04/x
  3. Step 3: Cross multiply
    1,605.72x = 2,411.32 × 993.04
  4. Step 4: Simplify right side
    1,605.72x = 2,394,537.21
  5. Step 5: Solve for x
    x = 2,394,537.21/1,605.72
  6. Step 6: Final answer
    x = 1,491.25

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1.5x scale

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.