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Finding the Fourth Proportional to 1,155.21, 1,592.31 and 782.07

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Solution

The fourth proportional to 1,155.21, 1,592.31 and 782.07 is: 1,077.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.21 : 1,592.31 = 782.07 : x
  2. Step 2: Convert to fraction form
    1,155.21/1,592.31 = 782.07/x
  3. Step 3: Cross multiply
    1,155.21x = 1,592.31 × 782.07
  4. Step 4: Simplify right side
    1,155.21x = 1,245,297.88
  5. Step 5: Solve for x
    x = 1,245,297.88/1,155.21
  6. Step 6: Final answer
    x = 1,077.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.