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Finding the Fourth Proportional to 1,154.69, 1,593.61 and 1,056.27

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Solution

The fourth proportional to 1,154.69, 1,593.61 and 1,056.27 is: 1,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.69 : 1,593.61 = 1,056.27 : x
  2. Step 2: Convert to fraction form
    1,154.69/1,593.61 = 1,056.27/x
  3. Step 3: Cross multiply
    1,154.69x = 1,593.61 × 1,056.27
  4. Step 4: Simplify right side
    1,154.69x = 1,683,282.43
  5. Step 5: Solve for x
    x = 1,683,282.43/1,154.69
  6. Step 6: Final answer
    x = 1,457.78

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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.