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Finding the Fourth Proportional to 840.66, 1,160.26 and 509.12

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Solution

The fourth proportional to 840.66, 1,160.26 and 509.12 is: 702.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.66 : 1,160.26 = 509.12 : x
  2. Step 2: Convert to fraction form
    840.66/1,160.26 = 509.12/x
  3. Step 3: Cross multiply
    840.66x = 1,160.26 × 509.12
  4. Step 4: Simplify right side
    840.66x = 590,711.57
  5. Step 5: Solve for x
    x = 590,711.57/840.66
  6. Step 6: Final answer
    x = 702.68

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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.