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Finding the Fourth Proportional to 1,311.67, 1,810.05 and 751.75

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Solution

The fourth proportional to 1,311.67, 1,810.05 and 751.75 is: 1,037.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.67 : 1,810.05 = 751.75 : x
  2. Step 2: Convert to fraction form
    1,311.67/1,810.05 = 751.75/x
  3. Step 3: Cross multiply
    1,311.67x = 1,810.05 × 751.75
  4. Step 4: Simplify right side
    1,311.67x = 1,360,698.68
  5. Step 5: Solve for x
    x = 1,360,698.68/1,311.67
  6. Step 6: Final answer
    x = 1,037.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.