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Finding the Fourth Proportional to 944.86, 1,303.83 and 525.16

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Solution

The fourth proportional to 944.86, 1,303.83 and 525.16 is: 724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.86 : 1,303.83 = 525.16 : x
  2. Step 2: Convert to fraction form
    944.86/1,303.83 = 525.16/x
  3. Step 3: Cross multiply
    944.86x = 1,303.83 × 525.16
  4. Step 4: Simplify right side
    944.86x = 684,719.36
  5. Step 5: Solve for x
    x = 684,719.36/944.86
  6. Step 6: Final answer
    x = 724.68

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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.