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Finding the Fourth Proportional to 1,056.47, 1,457.75 and 614.39

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Solution

The fourth proportional to 1,056.47, 1,457.75 and 614.39 is: 847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.47 : 1,457.75 = 614.39 : x
  2. Step 2: Convert to fraction form
    1,056.47/1,457.75 = 614.39/x
  3. Step 3: Cross multiply
    1,056.47x = 1,457.75 × 614.39
  4. Step 4: Simplify right side
    1,056.47x = 895,616.66
  5. Step 5: Solve for x
    x = 895,616.66/1,056.47
  6. Step 6: Final answer
    x = 847.75

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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.