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Finding the Fourth Proportional to 1,341.96, 2,013.21 and 476.25

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Solution

The fourth proportional to 1,341.96, 2,013.21 and 476.25 is: 714.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.96 : 2,013.21 = 476.25 : x
  2. Step 2: Convert to fraction form
    1,341.96/2,013.21 = 476.25/x
  3. Step 3: Cross multiply
    1,341.96x = 2,013.21 × 476.25
  4. Step 4: Simplify right side
    1,341.96x = 958,791.26
  5. Step 5: Solve for x
    x = 958,791.26/1,341.96
  6. Step 6: Final answer
    x = 714.47

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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.