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Finding the Fourth Proportional to 840.81, 1,160.49 and 491.58

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Solution

The fourth proportional to 840.81, 1,160.49 and 491.58 is: 678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.81 : 1,160.49 = 491.58 : x
  2. Step 2: Convert to fraction form
    840.81/1,160.49 = 491.58/x
  3. Step 3: Cross multiply
    840.81x = 1,160.49 × 491.58
  4. Step 4: Simplify right side
    840.81x = 570,473.67
  5. Step 5: Solve for x
    x = 570,473.67/840.81
  6. Step 6: Final answer
    x = 678.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.