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Finding the Fourth Proportional to 1,571.99, 2,357.35 and 648.01

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Solution

The fourth proportional to 1,571.99, 2,357.35 and 648.01 is: 971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.99 : 2,357.35 = 648.01 : x
  2. Step 2: Convert to fraction form
    1,571.99/2,357.35 = 648.01/x
  3. Step 3: Cross multiply
    1,571.99x = 2,357.35 × 648.01
  4. Step 4: Simplify right side
    1,571.99x = 1,527,586.37
  5. Step 5: Solve for x
    x = 1,527,586.37/1,571.99
  6. Step 6: Final answer
    x = 971.75

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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.