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Finding the Fourth Proportional to 1,383.58, 2,075.58 and 690.64

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Solution

The fourth proportional to 1,383.58, 2,075.58 and 690.64 is: 1,036.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.58 : 2,075.58 = 690.64 : x
  2. Step 2: Convert to fraction form
    1,383.58/2,075.58 = 690.64/x
  3. Step 3: Cross multiply
    1,383.58x = 2,075.58 × 690.64
  4. Step 4: Simplify right side
    1,383.58x = 1,433,478.57
  5. Step 5: Solve for x
    x = 1,433,478.57/1,383.58
  6. Step 6: Final answer
    x = 1,036.06

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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.