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Finding the Fourth Proportional to 1,065.90, 1,597.77 and 577.92

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Solution

The fourth proportional to 1,065.90, 1,597.77 and 577.92 is: 866.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.90 : 1,597.77 = 577.92 : x
  2. Step 2: Convert to fraction form
    1,065.90/1,597.77 = 577.92/x
  3. Step 3: Cross multiply
    1,065.90x = 1,597.77 × 577.92
  4. Step 4: Simplify right side
    1,065.90x = 923,383.24
  5. Step 5: Solve for x
    x = 923,383.24/1,065.90
  6. Step 6: Final answer
    x = 866.29

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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.