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Finding the Fourth Proportional to 981.04, 1,470.86 and 460.75

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Solution

The fourth proportional to 981.04, 1,470.86 and 460.75 is: 690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.04 : 1,470.86 = 460.75 : x
  2. Step 2: Convert to fraction form
    981.04/1,470.86 = 460.75/x
  3. Step 3: Cross multiply
    981.04x = 1,470.86 × 460.75
  4. Step 4: Simplify right side
    981.04x = 677,698.75
  5. Step 5: Solve for x
    x = 677,698.75/981.04
  6. Step 6: Final answer
    x = 690.80

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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.