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Finding the Fourth Proportional to 677.49, 1,018.08 and 403.71

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Solution

The fourth proportional to 677.49, 1,018.08 and 403.71 is: 606.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.49 : 1,018.08 = 403.71 : x
  2. Step 2: Convert to fraction form
    677.49/1,018.08 = 403.71/x
  3. Step 3: Cross multiply
    677.49x = 1,018.08 × 403.71
  4. Step 4: Simplify right side
    677.49x = 411,009.08
  5. Step 5: Solve for x
    x = 411,009.08/677.49
  6. Step 6: Final answer
    x = 606.66

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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.