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Finding the Fourth Proportional to 1,173.82, 1,759.65 and 524.02

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Solution

The fourth proportional to 1,173.82, 1,759.65 and 524.02 is: 785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.82 : 1,759.65 = 524.02 : x
  2. Step 2: Convert to fraction form
    1,173.82/1,759.65 = 524.02/x
  3. Step 3: Cross multiply
    1,173.82x = 1,759.65 × 524.02
  4. Step 4: Simplify right side
    1,173.82x = 922,091.79
  5. Step 5: Solve for x
    x = 922,091.79/1,173.82
  6. Step 6: Final answer
    x = 785.55

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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.