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Finding the Fourth Proportional to 1,358.64, 2,038.23 and 493.02

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Solution

The fourth proportional to 1,358.64, 2,038.23 and 493.02 is: 739.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.64 : 2,038.23 = 493.02 : x
  2. Step 2: Convert to fraction form
    1,358.64/2,038.23 = 493.02/x
  3. Step 3: Cross multiply
    1,358.64x = 2,038.23 × 493.02
  4. Step 4: Simplify right side
    1,358.64x = 1,004,888.15
  5. Step 5: Solve for x
    x = 1,004,888.15/1,358.64
  6. Step 6: Final answer
    x = 739.63

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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.