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Finding the Fourth Proportional to 1,053.73, 1,582.62 and 729.73

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Solution

The fourth proportional to 1,053.73, 1,582.62 and 729.73 is: 1,096.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.73 : 1,582.62 = 729.73 : x
  2. Step 2: Convert to fraction form
    1,053.73/1,582.62 = 729.73/x
  3. Step 3: Cross multiply
    1,053.73x = 1,582.62 × 729.73
  4. Step 4: Simplify right side
    1,053.73x = 1,154,885.29
  5. Step 5: Solve for x
    x = 1,154,885.29/1,053.73
  6. Step 6: Final answer
    x = 1,096.00

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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.