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Finding the Fourth Proportional to 749.84, 1,032.84 and 584.04

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Solution

The fourth proportional to 749.84, 1,032.84 and 584.04 is: 804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.84 : 1,032.84 = 584.04 : x
  2. Step 2: Convert to fraction form
    749.84/1,032.84 = 584.04/x
  3. Step 3: Cross multiply
    749.84x = 1,032.84 × 584.04
  4. Step 4: Simplify right side
    749.84x = 603,219.87
  5. Step 5: Solve for x
    x = 603,219.87/749.84
  6. Step 6: Final answer
    x = 804.46

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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.