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Finding the Fourth Proportional to 677.03, 1,017.36 and 618.71

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Solution

The fourth proportional to 677.03, 1,017.36 and 618.71 is: 929.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.03 : 1,017.36 = 618.71 : x
  2. Step 2: Convert to fraction form
    677.03/1,017.36 = 618.71/x
  3. Step 3: Cross multiply
    677.03x = 1,017.36 × 618.71
  4. Step 4: Simplify right side
    677.03x = 629,445.72
  5. Step 5: Solve for x
    x = 629,445.72/677.03
  6. Step 6: Final answer
    x = 929.72

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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.