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Finding the Fourth Proportional to 1,571.61, 2,357.53 and 476.06

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Solution

The fourth proportional to 1,571.61, 2,357.53 and 476.06 is: 714.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.61 : 2,357.53 = 476.06 : x
  2. Step 2: Convert to fraction form
    1,571.61/2,357.53 = 476.06/x
  3. Step 3: Cross multiply
    1,571.61x = 2,357.53 × 476.06
  4. Step 4: Simplify right side
    1,571.61x = 1,122,325.73
  5. Step 5: Solve for x
    x = 1,122,325.73/1,571.61
  6. Step 6: Final answer
    x = 714.12

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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.