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Finding the Fourth Proportional to 1,173.32, 1,760.01 and 403.82

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Solution

The fourth proportional to 1,173.32, 1,760.01 and 403.82 is: 605.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.32 : 1,760.01 = 403.82 : x
  2. Step 2: Convert to fraction form
    1,173.32/1,760.01 = 403.82/x
  3. Step 3: Cross multiply
    1,173.32x = 1,760.01 × 403.82
  4. Step 4: Simplify right side
    1,173.32x = 710,727.24
  5. Step 5: Solve for x
    x = 710,727.24/1,173.32
  6. Step 6: Final answer
    x = 605.74

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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.