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Finding the Fourth Proportional to 1,145.07, 1,716.69 and 597.09

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Solution

The fourth proportional to 1,145.07, 1,716.69 and 597.09 is: 895.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.07 : 1,716.69 = 597.09 : x
  2. Step 2: Convert to fraction form
    1,145.07/1,716.69 = 597.09/x
  3. Step 3: Cross multiply
    1,145.07x = 1,716.69 × 597.09
  4. Step 4: Simplify right side
    1,145.07x = 1,025,018.43
  5. Step 5: Solve for x
    x = 1,025,018.43/1,145.07
  6. Step 6: Final answer
    x = 895.16

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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.