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Finding the Fourth Proportional to 1,180.48, 1,770.93 and 400.57

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Solution

The fourth proportional to 1,180.48, 1,770.93 and 400.57 is: 600.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.48 : 1,770.93 = 400.57 : x
  2. Step 2: Convert to fraction form
    1,180.48/1,770.93 = 400.57/x
  3. Step 3: Cross multiply
    1,180.48x = 1,770.93 × 400.57
  4. Step 4: Simplify right side
    1,180.48x = 709,381.43
  5. Step 5: Solve for x
    x = 709,381.43/1,180.48
  6. Step 6: Final answer
    x = 600.93

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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.