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Finding the Fourth Proportional to 677.94, 1,014.54 and 417.86

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Solution

The fourth proportional to 677.94, 1,014.54 and 417.86 is: 625.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.94 : 1,014.54 = 417.86 : x
  2. Step 2: Convert to fraction form
    677.94/1,014.54 = 417.86/x
  3. Step 3: Cross multiply
    677.94x = 1,014.54 × 417.86
  4. Step 4: Simplify right side
    677.94x = 423,935.68
  5. Step 5: Solve for x
    x = 423,935.68/677.94
  6. Step 6: Final answer
    x = 625.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.