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Finding the Fourth Proportional to 1,055.85, 1,457.01 and 613.89

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Solution

The fourth proportional to 1,055.85, 1,457.01 and 613.89 is: 847.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.85 : 1,457.01 = 613.89 : x
  2. Step 2: Convert to fraction form
    1,055.85/1,457.01 = 613.89/x
  3. Step 3: Cross multiply
    1,055.85x = 1,457.01 × 613.89
  4. Step 4: Simplify right side
    1,055.85x = 894,443.87
  5. Step 5: Solve for x
    x = 894,443.87/1,055.85
  6. Step 6: Final answer
    x = 847.13

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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.