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Finding the Fourth Proportional to 1,420.67, 2,132.53 and 805.58

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Solution

The fourth proportional to 1,420.67, 2,132.53 and 805.58 is: 1,209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.67 : 2,132.53 = 805.58 : x
  2. Step 2: Convert to fraction form
    1,420.67/2,132.53 = 805.58/x
  3. Step 3: Cross multiply
    1,420.67x = 2,132.53 × 805.58
  4. Step 4: Simplify right side
    1,420.67x = 1,717,918.84
  5. Step 5: Solve for x
    x = 1,717,918.84/1,420.67
  6. Step 6: Final answer
    x = 1,209.23

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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.