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Finding the Fourth Proportional to 944.39, 1,303.24 and 524.75

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Solution

The fourth proportional to 944.39, 1,303.24 and 524.75 is: 724.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.39 : 1,303.24 = 524.75 : x
  2. Step 2: Convert to fraction form
    944.39/1,303.24 = 524.75/x
  3. Step 3: Cross multiply
    944.39x = 1,303.24 × 524.75
  4. Step 4: Simplify right side
    944.39x = 683,868.35
  5. Step 5: Solve for x
    x = 683,868.35/944.39
  6. Step 6: Final answer
    x = 724.14

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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.