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Finding the Fourth Proportional to 1,553.42, 2,330.05 and 579.45

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Solution

The fourth proportional to 1,553.42, 2,330.05 and 579.45 is: 869.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.42 : 2,330.05 = 579.45 : x
  2. Step 2: Convert to fraction form
    1,553.42/2,330.05 = 579.45/x
  3. Step 3: Cross multiply
    1,553.42x = 2,330.05 × 579.45
  4. Step 4: Simplify right side
    1,553.42x = 1,350,138.63
  5. Step 5: Solve for x
    x = 1,350,138.63/1,553.42
  6. Step 6: Final answer
    x = 869.14

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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.