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Finding the Fourth Proportional to 804.84, 1,110.21 and 509.60

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Solution

The fourth proportional to 804.84, 1,110.21 and 509.60 is: 702.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.84 : 1,110.21 = 509.60 : x
  2. Step 2: Convert to fraction form
    804.84/1,110.21 = 509.60/x
  3. Step 3: Cross multiply
    804.84x = 1,110.21 × 509.60
  4. Step 4: Simplify right side
    804.84x = 565,757.46
  5. Step 5: Solve for x
    x = 565,757.46/804.84
  6. Step 6: Final answer
    x = 702.94

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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.