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Finding the Fourth Proportional to 1,698.42, 2,546.04 and 659.10

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Solution

The fourth proportional to 1,698.42, 2,546.04 and 659.10 is: 988.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.42 : 2,546.04 = 659.10 : x
  2. Step 2: Convert to fraction form
    1,698.42/2,546.04 = 659.10/x
  3. Step 3: Cross multiply
    1,698.42x = 2,546.04 × 659.10
  4. Step 4: Simplify right side
    1,698.42x = 1,678,094.96
  5. Step 5: Solve for x
    x = 1,678,094.96/1,698.42
  6. Step 6: Final answer
    x = 988.03

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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.