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Finding the Fourth Proportional to 675.96, 1,009.05 and 593.96

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Solution

The fourth proportional to 675.96, 1,009.05 and 593.96 is: 886.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.96 : 1,009.05 = 593.96 : x
  2. Step 2: Convert to fraction form
    675.96/1,009.05 = 593.96/x
  3. Step 3: Cross multiply
    675.96x = 1,009.05 × 593.96
  4. Step 4: Simplify right side
    675.96x = 599,330.29
  5. Step 5: Solve for x
    x = 599,330.29/675.96
  6. Step 6: Final answer
    x = 886.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.