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Finding the Fourth Proportional to 1,709.02, 2,564.17 and 598.54

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Solution

The fourth proportional to 1,709.02, 2,564.17 and 598.54 is: 898.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.02 : 2,564.17 = 598.54 : x
  2. Step 2: Convert to fraction form
    1,709.02/2,564.17 = 598.54/x
  3. Step 3: Cross multiply
    1,709.02x = 2,564.17 × 598.54
  4. Step 4: Simplify right side
    1,709.02x = 1,534,758.31
  5. Step 5: Solve for x
    x = 1,534,758.31/1,709.02
  6. Step 6: Final answer
    x = 898.03

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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.