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Finding the Fourth Proportional to 1,688.73, 2,534.21 and 593.07

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Solution

The fourth proportional to 1,688.73, 2,534.21 and 593.07 is: 889.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.73 : 2,534.21 = 593.07 : x
  2. Step 2: Convert to fraction form
    1,688.73/2,534.21 = 593.07/x
  3. Step 3: Cross multiply
    1,688.73x = 2,534.21 × 593.07
  4. Step 4: Simplify right side
    1,688.73x = 1,502,963.18
  5. Step 5: Solve for x
    x = 1,502,963.18/1,688.73
  6. Step 6: Final answer
    x = 889.99

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