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Finding the Fourth Proportional to 944.76, 1,303.65 and 595.38

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Solution

The fourth proportional to 944.76, 1,303.65 and 595.38 is: 821.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.76 : 1,303.65 = 595.38 : x
  2. Step 2: Convert to fraction form
    944.76/1,303.65 = 595.38/x
  3. Step 3: Cross multiply
    944.76x = 1,303.65 × 595.38
  4. Step 4: Simplify right side
    944.76x = 776,167.14
  5. Step 5: Solve for x
    x = 776,167.14/944.76
  6. Step 6: Final answer
    x = 821.55

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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.