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Finding the Fourth Proportional to 972.83, 1,457.07 and 484.85

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Solution

The fourth proportional to 972.83, 1,457.07 and 484.85 is: 726.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.83 : 1,457.07 = 484.85 : x
  2. Step 2: Convert to fraction form
    972.83/1,457.07 = 484.85/x
  3. Step 3: Cross multiply
    972.83x = 1,457.07 × 484.85
  4. Step 4: Simplify right side
    972.83x = 706,464.03
  5. Step 5: Solve for x
    x = 706,464.03/972.83
  6. Step 6: Final answer
    x = 726.20

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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.