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Finding the Fourth Proportional to 945.82, 1,417.38 and 482.95

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Solution

The fourth proportional to 945.82, 1,417.38 and 482.95 is: 723.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.82 : 1,417.38 = 482.95 : x
  2. Step 2: Convert to fraction form
    945.82/1,417.38 = 482.95/x
  3. Step 3: Cross multiply
    945.82x = 1,417.38 × 482.95
  4. Step 4: Simplify right side
    945.82x = 684,523.67
  5. Step 5: Solve for x
    x = 684,523.67/945.82
  6. Step 6: Final answer
    x = 723.74

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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.