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Finding the Fourth Proportional to 1,055.82, 1,457.10 and 613.80

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Solution

The fourth proportional to 1,055.82, 1,457.10 and 613.80 is: 847.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.82 : 1,457.10 = 613.80 : x
  2. Step 2: Convert to fraction form
    1,055.82/1,457.10 = 613.80/x
  3. Step 3: Cross multiply
    1,055.82x = 1,457.10 × 613.80
  4. Step 4: Simplify right side
    1,055.82x = 894,367.98
  5. Step 5: Solve for x
    x = 894,367.98/1,055.82
  6. Step 6: Final answer
    x = 847.08

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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.