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Finding the Fourth Proportional to 799.84, 1,104.30 and 501.53

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Solution

The fourth proportional to 799.84, 1,104.30 and 501.53 is: 692.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.84 : 1,104.30 = 501.53 : x
  2. Step 2: Convert to fraction form
    799.84/1,104.30 = 501.53/x
  3. Step 3: Cross multiply
    799.84x = 1,104.30 × 501.53
  4. Step 4: Simplify right side
    799.84x = 553,839.58
  5. Step 5: Solve for x
    x = 553,839.58/799.84
  6. Step 6: Final answer
    x = 692.44

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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.