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Finding the Fourth Proportional to 1,358.12, 2,037.48 and 536.17

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Solution

The fourth proportional to 1,358.12, 2,037.48 and 536.17 is: 804.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.12 : 2,037.48 = 536.17 : x
  2. Step 2: Convert to fraction form
    1,358.12/2,037.48 = 536.17/x
  3. Step 3: Cross multiply
    1,358.12x = 2,037.48 × 536.17
  4. Step 4: Simplify right side
    1,358.12x = 1,092,435.65
  5. Step 5: Solve for x
    x = 1,092,435.65/1,358.12
  6. Step 6: Final answer
    x = 804.37

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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.