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Finding the Fourth Proportional to 840.36, 1,159.62 and 508.80

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Solution

The fourth proportional to 840.36, 1,159.62 and 508.80 is: 702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.36 : 1,159.62 = 508.80 : x
  2. Step 2: Convert to fraction form
    840.36/1,159.62 = 508.80/x
  3. Step 3: Cross multiply
    840.36x = 1,159.62 × 508.80
  4. Step 4: Simplify right side
    840.36x = 590,014.66
  5. Step 5: Solve for x
    x = 590,014.66/840.36
  6. Step 6: Final answer
    x = 702.10

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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.