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Finding the Fourth Proportional to 1,173.90, 1,757.58 and 595.56

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Solution

The fourth proportional to 1,173.90, 1,757.58 and 595.56 is: 891.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.90 : 1,757.58 = 595.56 : x
  2. Step 2: Convert to fraction form
    1,173.90/1,757.58 = 595.56/x
  3. Step 3: Cross multiply
    1,173.90x = 1,757.58 × 595.56
  4. Step 4: Simplify right side
    1,173.90x = 1,046,744.34
  5. Step 5: Solve for x
    x = 1,046,744.34/1,173.90
  6. Step 6: Final answer
    x = 891.68

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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.