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Finding the Fourth Proportional to 1,534.73, 2,302.08 and 712.89

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Solution

The fourth proportional to 1,534.73, 2,302.08 and 712.89 is: 1,069.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.73 : 2,302.08 = 712.89 : x
  2. Step 2: Convert to fraction form
    1,534.73/2,302.08 = 712.89/x
  3. Step 3: Cross multiply
    1,534.73x = 2,302.08 × 712.89
  4. Step 4: Simplify right side
    1,534.73x = 1,641,129.81
  5. Step 5: Solve for x
    x = 1,641,129.81/1,534.73
  6. Step 6: Final answer
    x = 1,069.33

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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.