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Finding the Fourth Proportional to 829.63, 1,144.65 and 514.81

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Solution

The fourth proportional to 829.63, 1,144.65 and 514.81 is: 710.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.63 : 1,144.65 = 514.81 : x
  2. Step 2: Convert to fraction form
    829.63/1,144.65 = 514.81/x
  3. Step 3: Cross multiply
    829.63x = 1,144.65 × 514.81
  4. Step 4: Simplify right side
    829.63x = 589,277.27
  5. Step 5: Solve for x
    x = 589,277.27/829.63
  6. Step 6: Final answer
    x = 710.29

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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.