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Finding the Fourth Proportional to 1,723.41, 2,584.71 and 553.59

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Solution

The fourth proportional to 1,723.41, 2,584.71 and 553.59 is: 830.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.41 : 2,584.71 = 553.59 : x
  2. Step 2: Convert to fraction form
    1,723.41/2,584.71 = 553.59/x
  3. Step 3: Cross multiply
    1,723.41x = 2,584.71 × 553.59
  4. Step 4: Simplify right side
    1,723.41x = 1,430,869.61
  5. Step 5: Solve for x
    x = 1,430,869.61/1,723.41
  6. Step 6: Final answer
    x = 830.25

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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.