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Finding the Fourth Proportional to 944.73, 1,303.73 and 525.10

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Solution

The fourth proportional to 944.73, 1,303.73 and 525.10 is: 724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.73 : 1,303.73 = 525.10 : x
  2. Step 2: Convert to fraction form
    944.73/1,303.73 = 525.10/x
  3. Step 3: Cross multiply
    944.73x = 1,303.73 × 525.10
  4. Step 4: Simplify right side
    944.73x = 684,588.62
  5. Step 5: Solve for x
    x = 684,588.62/944.73
  6. Step 6: Final answer
    x = 724.64

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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.