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Finding the Fourth Proportional to 1,785.46, 2,679.54 and 690.08

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Solution

The fourth proportional to 1,785.46, 2,679.54 and 690.08 is: 1,035.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.46 : 2,679.54 = 690.08 : x
  2. Step 2: Convert to fraction form
    1,785.46/2,679.54 = 690.08/x
  3. Step 3: Cross multiply
    1,785.46x = 2,679.54 × 690.08
  4. Step 4: Simplify right side
    1,785.46x = 1,849,096.96
  5. Step 5: Solve for x
    x = 1,849,096.96/1,785.46
  6. Step 6: Final answer
    x = 1,035.64

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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.