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Finding the Fourth Proportional to 840.80, 1,159.99 and 509.10

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Solution

The fourth proportional to 840.80, 1,159.99 and 509.10 is: 702.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.80 : 1,159.99 = 509.10 : x
  2. Step 2: Convert to fraction form
    840.80/1,159.99 = 509.10/x
  3. Step 3: Cross multiply
    840.80x = 1,159.99 × 509.10
  4. Step 4: Simplify right side
    840.80x = 590,550.91
  5. Step 5: Solve for x
    x = 590,550.91/840.80
  6. Step 6: Final answer
    x = 702.37

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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.