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Finding the Fourth Proportional to 1,358.45, 2,037.68 and 332.45

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Solution

The fourth proportional to 1,358.45, 2,037.68 and 332.45 is: 498.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.45 : 2,037.68 = 332.45 : x
  2. Step 2: Convert to fraction form
    1,358.45/2,037.68 = 332.45/x
  3. Step 3: Cross multiply
    1,358.45x = 2,037.68 × 332.45
  4. Step 4: Simplify right side
    1,358.45x = 677,426.72
  5. Step 5: Solve for x
    x = 677,426.72/1,358.45
  6. Step 6: Final answer
    x = 498.68

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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.