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Finding the Fourth Proportional to 944.96, 1,417.64 and 482.96

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Solution

The fourth proportional to 944.96, 1,417.64 and 482.96 is: 724.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.96 : 1,417.64 = 482.96 : x
  2. Step 2: Convert to fraction form
    944.96/1,417.64 = 482.96/x
  3. Step 3: Cross multiply
    944.96x = 1,417.64 × 482.96
  4. Step 4: Simplify right side
    944.96x = 684,663.41
  5. Step 5: Solve for x
    x = 684,663.41/944.96
  6. Step 6: Final answer
    x = 724.54

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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.