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Finding the Fourth Proportional to 1,173.96, 1,759.68 and 597.24

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Solution

The fourth proportional to 1,173.96, 1,759.68 and 597.24 is: 895.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.96 : 1,759.68 = 597.24 : x
  2. Step 2: Convert to fraction form
    1,173.96/1,759.68 = 597.24/x
  3. Step 3: Cross multiply
    1,173.96x = 1,759.68 × 597.24
  4. Step 4: Simplify right side
    1,173.96x = 1,050,951.28
  5. Step 5: Solve for x
    x = 1,050,951.28/1,173.96
  6. Step 6: Final answer
    x = 895.22

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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.