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Finding the Fourth Proportional to 677.61, 1,017.80 and 446.83

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Solution

The fourth proportional to 677.61, 1,017.80 and 446.83 is: 671.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.61 : 1,017.80 = 446.83 : x
  2. Step 2: Convert to fraction form
    677.61/1,017.80 = 446.83/x
  3. Step 3: Cross multiply
    677.61x = 1,017.80 × 446.83
  4. Step 4: Simplify right side
    677.61x = 454,783.57
  5. Step 5: Solve for x
    x = 454,783.57/677.61
  6. Step 6: Final answer
    x = 671.16

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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.