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Finding the Fourth Proportional to 1,683.29, 2,522.96 and 757.77

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Solution

The fourth proportional to 1,683.29, 2,522.96 and 757.77 is: 1,135.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.29 : 2,522.96 = 757.77 : x
  2. Step 2: Convert to fraction form
    1,683.29/2,522.96 = 757.77/x
  3. Step 3: Cross multiply
    1,683.29x = 2,522.96 × 757.77
  4. Step 4: Simplify right side
    1,683.29x = 1,911,823.40
  5. Step 5: Solve for x
    x = 1,911,823.40/1,683.29
  6. Step 6: Final answer
    x = 1,135.77

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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.