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Finding the Fourth Proportional to 1,593.64, 2,390.44 and 497.85

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Solution

The fourth proportional to 1,593.64, 2,390.44 and 497.85 is: 746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.64 : 2,390.44 = 497.85 : x
  2. Step 2: Convert to fraction form
    1,593.64/2,390.44 = 497.85/x
  3. Step 3: Cross multiply
    1,593.64x = 2,390.44 × 497.85
  4. Step 4: Simplify right side
    1,593.64x = 1,190,080.55
  5. Step 5: Solve for x
    x = 1,190,080.55/1,593.64
  6. Step 6: Final answer
    x = 746.77

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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.