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Finding the Fourth Proportional to 1,495.35, 2,242.71 and 455.31

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Solution

The fourth proportional to 1,495.35, 2,242.71 and 455.31 is: 682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.35 : 2,242.71 = 455.31 : x
  2. Step 2: Convert to fraction form
    1,495.35/2,242.71 = 455.31/x
  3. Step 3: Cross multiply
    1,495.35x = 2,242.71 × 455.31
  4. Step 4: Simplify right side
    1,495.35x = 1,021,128.29
  5. Step 5: Solve for x
    x = 1,021,128.29/1,495.35
  6. Step 6: Final answer
    x = 682.87

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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.