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Finding the Fourth Proportional to 1,723.03, 2,584.85 and 553.30

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Solution

The fourth proportional to 1,723.03, 2,584.85 and 553.30 is: 830.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.03 : 2,584.85 = 553.30 : x
  2. Step 2: Convert to fraction form
    1,723.03/2,584.85 = 553.30/x
  3. Step 3: Cross multiply
    1,723.03x = 2,584.85 × 553.30
  4. Step 4: Simplify right side
    1,723.03x = 1,430,188.28
  5. Step 5: Solve for x
    x = 1,430,188.28/1,723.03
  6. Step 6: Final answer
    x = 830.04

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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.