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Finding the Fourth Proportional to 1,571.44, 2,357.32 and 417.19

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Solution

The fourth proportional to 1,571.44, 2,357.32 and 417.19 is: 625.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.44 : 2,357.32 = 417.19 : x
  2. Step 2: Convert to fraction form
    1,571.44/2,357.32 = 417.19/x
  3. Step 3: Cross multiply
    1,571.44x = 2,357.32 × 417.19
  4. Step 4: Simplify right side
    1,571.44x = 983,443.39
  5. Step 5: Solve for x
    x = 983,443.39/1,571.44
  6. Step 6: Final answer
    x = 625.82

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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.