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Finding the Fourth Proportional to 709.44, 1,062.88 and 593.76

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Solution

The fourth proportional to 709.44, 1,062.88 and 593.76 is: 889.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.44 : 1,062.88 = 593.76 : x
  2. Step 2: Convert to fraction form
    709.44/1,062.88 = 593.76/x
  3. Step 3: Cross multiply
    709.44x = 1,062.88 × 593.76
  4. Step 4: Simplify right side
    709.44x = 631,095.63
  5. Step 5: Solve for x
    x = 631,095.63/709.44
  6. Step 6: Final answer
    x = 889.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.