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Finding the Fourth Proportional to 1,534.78, 2,302.14 and 494.86

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Solution

The fourth proportional to 1,534.78, 2,302.14 and 494.86 is: 742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.78 : 2,302.14 = 494.86 : x
  2. Step 2: Convert to fraction form
    1,534.78/2,302.14 = 494.86/x
  3. Step 3: Cross multiply
    1,534.78x = 2,302.14 × 494.86
  4. Step 4: Simplify right side
    1,534.78x = 1,139,237.00
  5. Step 5: Solve for x
    x = 1,139,237.00/1,534.78
  6. Step 6: Final answer
    x = 742.28

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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.