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Finding the Fourth Proportional to 944.92, 1,303.84 and 525.20

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Solution

The fourth proportional to 944.92, 1,303.84 and 525.20 is: 724.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.92 : 1,303.84 = 525.20 : x
  2. Step 2: Convert to fraction form
    944.92/1,303.84 = 525.20/x
  3. Step 3: Cross multiply
    944.92x = 1,303.84 × 525.20
  4. Step 4: Simplify right side
    944.92x = 684,776.77
  5. Step 5: Solve for x
    x = 684,776.77/944.92
  6. Step 6: Final answer
    x = 724.69

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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.