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Finding the Fourth Proportional to 804.88, 1,109.96 and 509.62

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Solution

The fourth proportional to 804.88, 1,109.96 and 509.62 is: 702.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.88 : 1,109.96 = 509.62 : x
  2. Step 2: Convert to fraction form
    804.88/1,109.96 = 509.62/x
  3. Step 3: Cross multiply
    804.88x = 1,109.96 × 509.62
  4. Step 4: Simplify right side
    804.88x = 565,657.82
  5. Step 5: Solve for x
    x = 565,657.82/804.88
  6. Step 6: Final answer
    x = 702.79

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1.5x scale

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.