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Finding the Fourth Proportional to 1,165.02, 1,744.23 and 834.77

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Solution

The fourth proportional to 1,165.02, 1,744.23 and 834.77 is: 1,249.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.02 : 1,744.23 = 834.77 : x
  2. Step 2: Convert to fraction form
    1,165.02/1,744.23 = 834.77/x
  3. Step 3: Cross multiply
    1,165.02x = 1,744.23 × 834.77
  4. Step 4: Simplify right side
    1,165.02x = 1,456,038.37
  5. Step 5: Solve for x
    x = 1,456,038.37/1,165.02
  6. Step 6: Final answer
    x = 1,249.80

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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.