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Finding the Fourth Proportional to 1,072.32, 1,607.84 and 494.72

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Solution

The fourth proportional to 1,072.32, 1,607.84 and 494.72 is: 741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.32 : 1,607.84 = 494.72 : x
  2. Step 2: Convert to fraction form
    1,072.32/1,607.84 = 494.72/x
  3. Step 3: Cross multiply
    1,072.32x = 1,607.84 × 494.72
  4. Step 4: Simplify right side
    1,072.32x = 795,430.60
  5. Step 5: Solve for x
    x = 795,430.60/1,072.32
  6. Step 6: Final answer
    x = 741.78

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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.