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Finding the Fourth Proportional to 1,145.10, 1,576.89 and 1,114.86

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Solution

The fourth proportional to 1,145.10, 1,576.89 and 1,114.86 is: 1,535.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.10 : 1,576.89 = 1,114.86 : x
  2. Step 2: Convert to fraction form
    1,145.10/1,576.89 = 1,114.86/x
  3. Step 3: Cross multiply
    1,145.10x = 1,576.89 × 1,114.86
  4. Step 4: Simplify right side
    1,145.10x = 1,758,011.59
  5. Step 5: Solve for x
    x = 1,758,011.59/1,145.10
  6. Step 6: Final answer
    x = 1,535.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.