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Finding the Fourth Proportional to 3,075.09, 4,612.64 and 766.59

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Solution

The fourth proportional to 3,075.09, 4,612.64 and 766.59 is: 1,149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.09 : 4,612.64 = 766.59 : x
  2. Step 2: Convert to fraction form
    3,075.09/4,612.64 = 766.59/x
  3. Step 3: Cross multiply
    3,075.09x = 4,612.64 × 766.59
  4. Step 4: Simplify right side
    3,075.09x = 3,535,999.86
  5. Step 5: Solve for x
    x = 3,535,999.86/3,075.09
  6. Step 6: Final answer
    x = 1,149.89

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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.