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Finding the Fourth Proportional to 1,688.73, 2,534.24 and 593.10

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Solution

The fourth proportional to 1,688.73, 2,534.24 and 593.10 is: 890.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.73 : 2,534.24 = 593.10 : x
  2. Step 2: Convert to fraction form
    1,688.73/2,534.24 = 593.10/x
  3. Step 3: Cross multiply
    1,688.73x = 2,534.24 × 593.10
  4. Step 4: Simplify right side
    1,688.73x = 1,503,054.78
  5. Step 5: Solve for x
    x = 1,503,054.78/1,688.73
  6. Step 6: Final answer
    x = 890.05

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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.