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Finding the Fourth Proportional to 1,180.48, 1,771.10 and 595.20

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Solution

The fourth proportional to 1,180.48, 1,771.10 and 595.20 is: 892.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.48 : 1,771.10 = 595.20 : x
  2. Step 2: Convert to fraction form
    1,180.48/1,771.10 = 595.20/x
  3. Step 3: Cross multiply
    1,180.48x = 1,771.10 × 595.20
  4. Step 4: Simplify right side
    1,180.48x = 1,054,155.74
  5. Step 5: Solve for x
    x = 1,054,155.74/1,180.48
  6. Step 6: Final answer
    x = 892.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.