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Finding the Fourth Proportional to 1,056.18, 1,457.44 and 614

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Solution

The fourth proportional to 1,056.18, 1,457.44 and 614 is: 847.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.18 : 1,457.44 = 614 : x
  2. Step 2: Convert to fraction form
    1,056.18/1,457.44 = 614/x
  3. Step 3: Cross multiply
    1,056.18x = 1,457.44 × 614
  4. Step 4: Simplify right side
    1,056.18x = 894,868.16
  5. Step 5: Solve for x
    x = 894,868.16/1,056.18
  6. Step 6: Final answer
    x = 847.27

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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.