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Finding the Fourth Proportional to 1,402.41, 2,103.16 and 465.14

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Solution

The fourth proportional to 1,402.41, 2,103.16 and 465.14 is: 697.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.41 : 2,103.16 = 465.14 : x
  2. Step 2: Convert to fraction form
    1,402.41/2,103.16 = 465.14/x
  3. Step 3: Cross multiply
    1,402.41x = 2,103.16 × 465.14
  4. Step 4: Simplify right side
    1,402.41x = 978,261.52
  5. Step 5: Solve for x
    x = 978,261.52/1,402.41
  6. Step 6: Final answer
    x = 697.56

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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.