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Finding the Fourth Proportional to 1,571.00, 2,356.54 and 583.90

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Solution

The fourth proportional to 1,571.00, 2,356.54 and 583.90 is: 875.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.00 : 2,356.54 = 583.90 : x
  2. Step 2: Convert to fraction form
    1,571.00/2,356.54 = 583.90/x
  3. Step 3: Cross multiply
    1,571.00x = 2,356.54 × 583.90
  4. Step 4: Simplify right side
    1,571.00x = 1,375,976.35
  5. Step 5: Solve for x
    x = 1,375,976.35/1,571.00
  6. Step 6: Final answer
    x = 875.86

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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.