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Finding the Fourth Proportional to 944.81, 1,303.75 and 571.66

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Solution

The fourth proportional to 944.81, 1,303.75 and 571.66 is: 788.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.81 : 1,303.75 = 571.66 : x
  2. Step 2: Convert to fraction form
    944.81/1,303.75 = 571.66/x
  3. Step 3: Cross multiply
    944.81x = 1,303.75 × 571.66
  4. Step 4: Simplify right side
    944.81x = 745,295.96
  5. Step 5: Solve for x
    x = 745,295.96/944.81
  6. Step 6: Final answer
    x = 788.83

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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.