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Finding the Fourth Proportional to 1,167.03, 1,605.69 and 1,020.02

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Solution

The fourth proportional to 1,167.03, 1,605.69 and 1,020.02 is: 1,403.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.03 : 1,605.69 = 1,020.02 : x
  2. Step 2: Convert to fraction form
    1,167.03/1,605.69 = 1,020.02/x
  3. Step 3: Cross multiply
    1,167.03x = 1,605.69 × 1,020.02
  4. Step 4: Simplify right side
    1,167.03x = 1,637,827.89
  5. Step 5: Solve for x
    x = 1,637,827.89/1,167.03
  6. Step 6: Final answer
    x = 1,403.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.