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Finding the Fourth Proportional to 1,358.39, 2,037.42 and 433.77

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Solution

The fourth proportional to 1,358.39, 2,037.42 and 433.77 is: 650.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.39 : 2,037.42 = 433.77 : x
  2. Step 2: Convert to fraction form
    1,358.39/2,037.42 = 433.77/x
  3. Step 3: Cross multiply
    1,358.39x = 2,037.42 × 433.77
  4. Step 4: Simplify right side
    1,358.39x = 883,771.67
  5. Step 5: Solve for x
    x = 883,771.67/1,358.39
  6. Step 6: Final answer
    x = 650.60

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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.