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Finding the Fourth Proportional to 1,056.33, 1,457.69 and 614.21

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Solution

The fourth proportional to 1,056.33, 1,457.69 and 614.21 is: 847.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.33 : 1,457.69 = 614.21 : x
  2. Step 2: Convert to fraction form
    1,056.33/1,457.69 = 614.21/x
  3. Step 3: Cross multiply
    1,056.33x = 1,457.69 × 614.21
  4. Step 4: Simplify right side
    1,056.33x = 895,317.42
  5. Step 5: Solve for x
    x = 895,317.42/1,056.33
  6. Step 6: Final answer
    x = 847.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.