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Finding the Fourth Proportional to 1,523.08, 2,284.22 and 657.20

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Solution

The fourth proportional to 1,523.08, 2,284.22 and 657.20 is: 985.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.08 : 2,284.22 = 657.20 : x
  2. Step 2: Convert to fraction form
    1,523.08/2,284.22 = 657.20/x
  3. Step 3: Cross multiply
    1,523.08x = 2,284.22 × 657.20
  4. Step 4: Simplify right side
    1,523.08x = 1,501,189.38
  5. Step 5: Solve for x
    x = 1,501,189.38/1,523.08
  6. Step 6: Final answer
    x = 985.63

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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.