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Finding the Fourth Proportional to 1,145.42, 1,716.86 and 1,053.16

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Solution

The fourth proportional to 1,145.42, 1,716.86 and 1,053.16 is: 1,578.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.42 : 1,716.86 = 1,053.16 : x
  2. Step 2: Convert to fraction form
    1,145.42/1,716.86 = 1,053.16/x
  3. Step 3: Cross multiply
    1,145.42x = 1,716.86 × 1,053.16
  4. Step 4: Simplify right side
    1,145.42x = 1,808,128.28
  5. Step 5: Solve for x
    x = 1,808,128.28/1,145.42
  6. Step 6: Final answer
    x = 1,578.57

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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.