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Finding the Fourth Proportional to 1,358.68, 2,037.91 and 434.33

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Solution

The fourth proportional to 1,358.68, 2,037.91 and 434.33 is: 651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.68 : 2,037.91 = 434.33 : x
  2. Step 2: Convert to fraction form
    1,358.68/2,037.91 = 434.33/x
  3. Step 3: Cross multiply
    1,358.68x = 2,037.91 × 434.33
  4. Step 4: Simplify right side
    1,358.68x = 885,125.45
  5. Step 5: Solve for x
    x = 885,125.45/1,358.68
  6. Step 6: Final answer
    x = 651.46

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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.