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Finding the Fourth Proportional to 1,075.66, 1,613.88 and 685.06

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Solution

The fourth proportional to 1,075.66, 1,613.88 and 685.06 is: 1,027.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.66 : 1,613.88 = 685.06 : x
  2. Step 2: Convert to fraction form
    1,075.66/1,613.88 = 685.06/x
  3. Step 3: Cross multiply
    1,075.66x = 1,613.88 × 685.06
  4. Step 4: Simplify right side
    1,075.66x = 1,105,604.63
  5. Step 5: Solve for x
    x = 1,105,604.63/1,075.66
  6. Step 6: Final answer
    x = 1,027.84

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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.