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Finding the Fourth Proportional to 944.88, 1,303.89 and 525.23

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Solution

The fourth proportional to 944.88, 1,303.89 and 525.23 is: 724.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.88 : 1,303.89 = 525.23 : x
  2. Step 2: Convert to fraction form
    944.88/1,303.89 = 525.23/x
  3. Step 3: Cross multiply
    944.88x = 1,303.89 × 525.23
  4. Step 4: Simplify right side
    944.88x = 684,835.63
  5. Step 5: Solve for x
    x = 684,835.63/944.88
  6. Step 6: Final answer
    x = 724.79

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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.