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Finding the Fourth Proportional to 1,580.58, 2,371.14 and 540.69

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Solution

The fourth proportional to 1,580.58, 2,371.14 and 540.69 is: 811.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.58 : 2,371.14 = 540.69 : x
  2. Step 2: Convert to fraction form
    1,580.58/2,371.14 = 540.69/x
  3. Step 3: Cross multiply
    1,580.58x = 2,371.14 × 540.69
  4. Step 4: Simplify right side
    1,580.58x = 1,282,051.69
  5. Step 5: Solve for x
    x = 1,282,051.69/1,580.58
  6. Step 6: Final answer
    x = 811.13

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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.