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Finding the Fourth Proportional to 1,580.97, 2,371.76 and 540.93

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Solution

The fourth proportional to 1,580.97, 2,371.76 and 540.93 is: 811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.97 : 2,371.76 = 540.93 : x
  2. Step 2: Convert to fraction form
    1,580.97/2,371.76 = 540.93/x
  3. Step 3: Cross multiply
    1,580.97x = 2,371.76 × 540.93
  4. Step 4: Simplify right side
    1,580.97x = 1,282,956.14
  5. Step 5: Solve for x
    x = 1,282,956.14/1,580.97
  6. Step 6: Final answer
    x = 811.50

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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.