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Finding the Fourth Proportional to 677.48, 1,008.53 and 673.84

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Solution

The fourth proportional to 677.48, 1,008.53 and 673.84 is: 1,003.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.48 : 1,008.53 = 673.84 : x
  2. Step 2: Convert to fraction form
    677.48/1,008.53 = 673.84/x
  3. Step 3: Cross multiply
    677.48x = 1,008.53 × 673.84
  4. Step 4: Simplify right side
    677.48x = 679,587.86
  5. Step 5: Solve for x
    x = 679,587.86/677.48
  6. Step 6: Final answer
    x = 1,003.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.