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Finding the Fourth Proportional to 804.04, 1,109.76 and 509.08

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Solution

The fourth proportional to 804.04, 1,109.76 and 509.08 is: 702.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.04 : 1,109.76 = 509.08 : x
  2. Step 2: Convert to fraction form
    804.04/1,109.76 = 509.08/x
  3. Step 3: Cross multiply
    804.04x = 1,109.76 × 509.08
  4. Step 4: Simplify right side
    804.04x = 564,956.62
  5. Step 5: Solve for x
    x = 564,956.62/804.04
  6. Step 6: Final answer
    x = 702.65

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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.