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Finding the Fourth Proportional to 1,157.26, 1,735.88 and 580.12

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Solution

The fourth proportional to 1,157.26, 1,735.88 and 580.12 is: 870.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.26 : 1,735.88 = 580.12 : x
  2. Step 2: Convert to fraction form
    1,157.26/1,735.88 = 580.12/x
  3. Step 3: Cross multiply
    1,157.26x = 1,735.88 × 580.12
  4. Step 4: Simplify right side
    1,157.26x = 1,007,018.71
  5. Step 5: Solve for x
    x = 1,007,018.71/1,157.26
  6. Step 6: Final answer
    x = 870.17

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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.