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Finding the Fourth Proportional to 1,056.12, 1,457.70 and 614.28

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Solution

The fourth proportional to 1,056.12, 1,457.70 and 614.28 is: 847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.12 : 1,457.70 = 614.28 : x
  2. Step 2: Convert to fraction form
    1,056.12/1,457.70 = 614.28/x
  3. Step 3: Cross multiply
    1,056.12x = 1,457.70 × 614.28
  4. Step 4: Simplify right side
    1,056.12x = 895,435.96
  5. Step 5: Solve for x
    x = 895,435.96/1,056.12
  6. Step 6: Final answer
    x = 847.85

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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.