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Finding the Fourth Proportional to 650, 973.56 and 593.84

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Solution

The fourth proportional to 650, 973.56 and 593.84 is: 889.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    650 : 973.56 = 593.84 : x
  2. Step 2: Convert to fraction form
    650/973.56 = 593.84/x
  3. Step 3: Cross multiply
    650x = 973.56 × 593.84
  4. Step 4: Simplify right side
    650x = 578,138.87
  5. Step 5: Solve for x
    x = 578,138.87/650
  6. Step 6: Final answer
    x = 889.44

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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.