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Finding the Fourth Proportional to 677.79, 929.25 and 665.46

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Solution

The fourth proportional to 677.79, 929.25 and 665.46 is: 912.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.79 : 929.25 = 665.46 : x
  2. Step 2: Convert to fraction form
    677.79/929.25 = 665.46/x
  3. Step 3: Cross multiply
    677.79x = 929.25 × 665.46
  4. Step 4: Simplify right side
    677.79x = 618,378.71
  5. Step 5: Solve for x
    x = 618,378.71/677.79
  6. Step 6: Final answer
    x = 912.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.