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Finding the Fourth Proportional to 944.22, 1,303.03 and 524.58

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Solution

The fourth proportional to 944.22, 1,303.03 and 524.58 is: 723.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.22 : 1,303.03 = 524.58 : x
  2. Step 2: Convert to fraction form
    944.22/1,303.03 = 524.58/x
  3. Step 3: Cross multiply
    944.22x = 1,303.03 × 524.58
  4. Step 4: Simplify right side
    944.22x = 683,536.96
  5. Step 5: Solve for x
    x = 683,536.96/944.22
  6. Step 6: Final answer
    x = 723.92

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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.