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Finding the Fourth Proportional to 3,075.66, 4,613.51 and 767.16

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Solution

The fourth proportional to 3,075.66, 4,613.51 and 767.16 is: 1,150.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.66 : 4,613.51 = 767.16 : x
  2. Step 2: Convert to fraction form
    3,075.66/4,613.51 = 767.16/x
  3. Step 3: Cross multiply
    3,075.66x = 4,613.51 × 767.16
  4. Step 4: Simplify right side
    3,075.66x = 3,539,296.50
  5. Step 5: Solve for x
    x = 3,539,296.50/3,075.66
  6. Step 6: Final answer
    x = 1,150.74

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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.