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Finding the Fourth Proportional to 840.61, 1,160.15 and 491.41

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Solution

The fourth proportional to 840.61, 1,160.15 and 491.41 is: 678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.61 : 1,160.15 = 491.41 : x
  2. Step 2: Convert to fraction form
    840.61/1,160.15 = 491.41/x
  3. Step 3: Cross multiply
    840.61x = 1,160.15 × 491.41
  4. Step 4: Simplify right side
    840.61x = 570,109.31
  5. Step 5: Solve for x
    x = 570,109.31/840.61
  6. Step 6: Final answer
    x = 678.21

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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.