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Finding the Fourth Proportional to 1,730.63, 2,595.96 and 576.38

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Solution

The fourth proportional to 1,730.63, 2,595.96 and 576.38 is: 864.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.63 : 2,595.96 = 576.38 : x
  2. Step 2: Convert to fraction form
    1,730.63/2,595.96 = 576.38/x
  3. Step 3: Cross multiply
    1,730.63x = 2,595.96 × 576.38
  4. Step 4: Simplify right side
    1,730.63x = 1,496,259.42
  5. Step 5: Solve for x
    x = 1,496,259.42/1,730.63
  6. Step 6: Final answer
    x = 864.57

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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.