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Finding the Fourth Proportional to 1,155.19, 1,732.80 and 385.69

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Solution

The fourth proportional to 1,155.19, 1,732.80 and 385.69 is: 578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.19 : 1,732.80 = 385.69 : x
  2. Step 2: Convert to fraction form
    1,155.19/1,732.80 = 385.69/x
  3. Step 3: Cross multiply
    1,155.19x = 1,732.80 × 385.69
  4. Step 4: Simplify right side
    1,155.19x = 668,317.85
  5. Step 5: Solve for x
    x = 668,317.85/1,155.19
  6. Step 6: Final answer
    x = 578.54

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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.