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Finding the Fourth Proportional to 1,001.73, 1,503.06 and 454.08

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Solution

The fourth proportional to 1,001.73, 1,503.06 and 454.08 is: 681.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.73 : 1,503.06 = 454.08 : x
  2. Step 2: Convert to fraction form
    1,001.73/1,503.06 = 454.08/x
  3. Step 3: Cross multiply
    1,001.73x = 1,503.06 × 454.08
  4. Step 4: Simplify right side
    1,001.73x = 682,509.48
  5. Step 5: Solve for x
    x = 682,509.48/1,001.73
  6. Step 6: Final answer
    x = 681.33

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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.