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Finding the Fourth Proportional to 1,571.64, 2,357.49 and 476.04

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Solution

The fourth proportional to 1,571.64, 2,357.49 and 476.04 is: 714.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.64 : 2,357.49 = 476.04 : x
  2. Step 2: Convert to fraction form
    1,571.64/2,357.49 = 476.04/x
  3. Step 3: Cross multiply
    1,571.64x = 2,357.49 × 476.04
  4. Step 4: Simplify right side
    1,571.64x = 1,122,259.54
  5. Step 5: Solve for x
    x = 1,122,259.54/1,571.64
  6. Step 6: Final answer
    x = 714.07

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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.