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Finding the Fourth Proportional to 1,156.69, 1,735.31 and 376.71

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Solution

The fourth proportional to 1,156.69, 1,735.31 and 376.71 is: 565.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.69 : 1,735.31 = 376.71 : x
  2. Step 2: Convert to fraction form
    1,156.69/1,735.31 = 376.71/x
  3. Step 3: Cross multiply
    1,156.69x = 1,735.31 × 376.71
  4. Step 4: Simplify right side
    1,156.69x = 653,708.63
  5. Step 5: Solve for x
    x = 653,708.63/1,156.69
  6. Step 6: Final answer
    x = 565.15

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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.