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Finding the Fourth Proportional to 661.77, 912.87 and 514.35

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Solution

The fourth proportional to 661.77, 912.87 and 514.35 is: 709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.77 : 912.87 = 514.35 : x
  2. Step 2: Convert to fraction form
    661.77/912.87 = 514.35/x
  3. Step 3: Cross multiply
    661.77x = 912.87 × 514.35
  4. Step 4: Simplify right side
    661.77x = 469,534.68
  5. Step 5: Solve for x
    x = 469,534.68/661.77
  6. Step 6: Final answer
    x = 709.51

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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.