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Finding the Fourth Proportional to 944.52, 1,417.21 and 482.06

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Solution

The fourth proportional to 944.52, 1,417.21 and 482.06 is: 723.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.52 : 1,417.21 = 482.06 : x
  2. Step 2: Convert to fraction form
    944.52/1,417.21 = 482.06/x
  3. Step 3: Cross multiply
    944.52x = 1,417.21 × 482.06
  4. Step 4: Simplify right side
    944.52x = 683,182.59
  5. Step 5: Solve for x
    x = 683,182.59/944.52
  6. Step 6: Final answer
    x = 723.31

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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.