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Finding the Fourth Proportional to 1,026.58, 1,539.96 and 506.86

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Solution

The fourth proportional to 1,026.58, 1,539.96 and 506.86 is: 760.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.58 : 1,539.96 = 506.86 : x
  2. Step 2: Convert to fraction form
    1,026.58/1,539.96 = 506.86/x
  3. Step 3: Cross multiply
    1,026.58x = 1,539.96 × 506.86
  4. Step 4: Simplify right side
    1,026.58x = 780,544.13
  5. Step 5: Solve for x
    x = 780,544.13/1,026.58
  6. Step 6: Final answer
    x = 760.33

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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.