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Finding the Fourth Proportional to 1,765.14, 2,647.64 and 595.86

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Solution

The fourth proportional to 1,765.14, 2,647.64 and 595.86 is: 893.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.14 : 2,647.64 = 595.86 : x
  2. Step 2: Convert to fraction form
    1,765.14/2,647.64 = 595.86/x
  3. Step 3: Cross multiply
    1,765.14x = 2,647.64 × 595.86
  4. Step 4: Simplify right side
    1,765.14x = 1,577,622.77
  5. Step 5: Solve for x
    x = 1,577,622.77/1,765.14
  6. Step 6: Final answer
    x = 893.77

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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.