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Finding the Fourth Proportional to 1,805.57, 2,708.43 and 572.95

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Solution

The fourth proportional to 1,805.57, 2,708.43 and 572.95 is: 859.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.57 : 2,708.43 = 572.95 : x
  2. Step 2: Convert to fraction form
    1,805.57/2,708.43 = 572.95/x
  3. Step 3: Cross multiply
    1,805.57x = 2,708.43 × 572.95
  4. Step 4: Simplify right side
    1,805.57x = 1,551,792.10
  5. Step 5: Solve for x
    x = 1,551,792.10/1,805.57
  6. Step 6: Final answer
    x = 859.45

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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.