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Finding the Fourth Proportional to 1,580.79, 2,371.47 and 655.86

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Solution

The fourth proportional to 1,580.79, 2,371.47 and 655.86 is: 983.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.79 : 2,371.47 = 655.86 : x
  2. Step 2: Convert to fraction form
    1,580.79/2,371.47 = 655.86/x
  3. Step 3: Cross multiply
    1,580.79x = 2,371.47 × 655.86
  4. Step 4: Simplify right side
    1,580.79x = 1,555,352.31
  5. Step 5: Solve for x
    x = 1,555,352.31/1,580.79
  6. Step 6: Final answer
    x = 983.91

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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.