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Finding the Fourth Proportional to 1,358.14, 2,037.16 and 433.75

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Solution

The fourth proportional to 1,358.14, 2,037.16 and 433.75 is: 650.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.14 : 2,037.16 = 433.75 : x
  2. Step 2: Convert to fraction form
    1,358.14/2,037.16 = 433.75/x
  3. Step 3: Cross multiply
    1,358.14x = 2,037.16 × 433.75
  4. Step 4: Simplify right side
    1,358.14x = 883,618.15
  5. Step 5: Solve for x
    x = 883,618.15/1,358.14
  6. Step 6: Final answer
    x = 650.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.