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Finding the Fourth Proportional to 944.52, 1,303.44 and 519.16

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Solution

The fourth proportional to 944.52, 1,303.44 and 519.16 is: 716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.52 : 1,303.44 = 519.16 : x
  2. Step 2: Convert to fraction form
    944.52/1,303.44 = 519.16/x
  3. Step 3: Cross multiply
    944.52x = 1,303.44 × 519.16
  4. Step 4: Simplify right side
    944.52x = 676,693.91
  5. Step 5: Solve for x
    x = 676,693.91/944.52
  6. Step 6: Final answer
    x = 716.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.