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Finding the Fourth Proportional to 1,342.13, 2,014.01 and 476.38

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Solution

The fourth proportional to 1,342.13, 2,014.01 and 476.38 is: 714.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.13 : 2,014.01 = 476.38 : x
  2. Step 2: Convert to fraction form
    1,342.13/2,014.01 = 476.38/x
  3. Step 3: Cross multiply
    1,342.13x = 2,014.01 × 476.38
  4. Step 4: Simplify right side
    1,342.13x = 959,421.63
  5. Step 5: Solve for x
    x = 959,421.63/1,342.13
  6. Step 6: Final answer
    x = 714.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.