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Finding the Fourth Proportional to 1,156.90, 1,735.13 and 376.79

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Solution

The fourth proportional to 1,156.90, 1,735.13 and 376.79 is: 565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.90 : 1,735.13 = 376.79 : x
  2. Step 2: Convert to fraction form
    1,156.90/1,735.13 = 376.79/x
  3. Step 3: Cross multiply
    1,156.90x = 1,735.13 × 376.79
  4. Step 4: Simplify right side
    1,156.90x = 653,771.90
  5. Step 5: Solve for x
    x = 653,771.90/1,156.90
  6. Step 6: Final answer
    x = 565.11

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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.