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Finding the Fourth Proportional to 1,455.35, 2,181.49 and 577.62

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Solution

The fourth proportional to 1,455.35, 2,181.49 and 577.62 is: 865.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.35 : 2,181.49 = 577.62 : x
  2. Step 2: Convert to fraction form
    1,455.35/2,181.49 = 577.62/x
  3. Step 3: Cross multiply
    1,455.35x = 2,181.49 × 577.62
  4. Step 4: Simplify right side
    1,455.35x = 1,260,070.81
  5. Step 5: Solve for x
    x = 1,260,070.81/1,455.35
  6. Step 6: Final answer
    x = 865.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.