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Finding the Fourth Proportional to 1,975.79, 2,962.69 and 659.08

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Solution

The fourth proportional to 1,975.79, 2,962.69 and 659.08 is: 988.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.79 : 2,962.69 = 659.08 : x
  2. Step 2: Convert to fraction form
    1,975.79/2,962.69 = 659.08/x
  3. Step 3: Cross multiply
    1,975.79x = 2,962.69 × 659.08
  4. Step 4: Simplify right side
    1,975.79x = 1,952,649.73
  5. Step 5: Solve for x
    x = 1,952,649.73/1,975.79
  6. Step 6: Final answer
    x = 988.29

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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.