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Finding the Fourth Proportional to 1,688.45, 2,533.61 and 593.60

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Solution

The fourth proportional to 1,688.45, 2,533.61 and 593.60 is: 890.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.45 : 2,533.61 = 593.60 : x
  2. Step 2: Convert to fraction form
    1,688.45/2,533.61 = 593.60/x
  3. Step 3: Cross multiply
    1,688.45x = 2,533.61 × 593.60
  4. Step 4: Simplify right side
    1,688.45x = 1,503,939.71
  5. Step 5: Solve for x
    x = 1,503,939.71/1,688.45
  6. Step 6: Final answer
    x = 890.72

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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.