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Finding the Fourth Proportional to 1,056.55, 1,457.97 and 614.42

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Solution

The fourth proportional to 1,056.55, 1,457.97 and 614.42 is: 847.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.55 : 1,457.97 = 614.42 : x
  2. Step 2: Convert to fraction form
    1,056.55/1,457.97 = 614.42/x
  3. Step 3: Cross multiply
    1,056.55x = 1,457.97 × 614.42
  4. Step 4: Simplify right side
    1,056.55x = 895,802.86
  5. Step 5: Solve for x
    x = 895,802.86/1,056.55
  6. Step 6: Final answer
    x = 847.86

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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.