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Finding the Fourth Proportional to 1,533.60, 2,299.14 and 608.76

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Solution

The fourth proportional to 1,533.60, 2,299.14 and 608.76 is: 912.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.60 : 2,299.14 = 608.76 : x
  2. Step 2: Convert to fraction form
    1,533.60/2,299.14 = 608.76/x
  3. Step 3: Cross multiply
    1,533.60x = 2,299.14 × 608.76
  4. Step 4: Simplify right side
    1,533.60x = 1,399,624.47
  5. Step 5: Solve for x
    x = 1,399,624.47/1,533.60
  6. Step 6: Final answer
    x = 912.64

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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.