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Finding the Fourth Proportional to 1,679.38, 2,316.99 and 971.13

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Solution

The fourth proportional to 1,679.38, 2,316.99 and 971.13 is: 1,339.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.38 : 2,316.99 = 971.13 : x
  2. Step 2: Convert to fraction form
    1,679.38/2,316.99 = 971.13/x
  3. Step 3: Cross multiply
    1,679.38x = 2,316.99 × 971.13
  4. Step 4: Simplify right side
    1,679.38x = 2,250,098.50
  5. Step 5: Solve for x
    x = 2,250,098.50/1,679.38
  6. Step 6: Final answer
    x = 1,339.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.