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Finding the Fourth Proportional to 1,358.82, 2,038.22 and 493.13

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Solution

The fourth proportional to 1,358.82, 2,038.22 and 493.13 is: 739.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.82 : 2,038.22 = 493.13 : x
  2. Step 2: Convert to fraction form
    1,358.82/2,038.22 = 493.13/x
  3. Step 3: Cross multiply
    1,358.82x = 2,038.22 × 493.13
  4. Step 4: Simplify right side
    1,358.82x = 1,005,094.77
  5. Step 5: Solve for x
    x = 1,005,094.77/1,358.82
  6. Step 6: Final answer
    x = 739.68

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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.