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Finding the Fourth Proportional to 804, 1,109.64 and 584

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Solution

The fourth proportional to 804, 1,109.64 and 584 is: 806.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    804 : 1,109.64 = 584 : x
  2. Step 2: Convert to fraction form
    804/1,109.64 = 584/x
  3. Step 3: Cross multiply
    804x = 1,109.64 × 584
  4. Step 4: Simplify right side
    804x = 648,029.76
  5. Step 5: Solve for x
    x = 648,029.76/804
  6. Step 6: Final answer
    x = 806.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.