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Finding the Fourth Proportional to 1,495.14, 2,242.71 and 469.14

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Solution

The fourth proportional to 1,495.14, 2,242.71 and 469.14 is: 703.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.14 : 2,242.71 = 469.14 : x
  2. Step 2: Convert to fraction form
    1,495.14/2,242.71 = 469.14/x
  3. Step 3: Cross multiply
    1,495.14x = 2,242.71 × 469.14
  4. Step 4: Simplify right side
    1,495.14x = 1,052,144.97
  5. Step 5: Solve for x
    x = 1,052,144.97/1,495.14
  6. Step 6: Final answer
    x = 703.71

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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.