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Finding the Fourth Proportional to 692.84, 955.26 and 582.07

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Solution

The fourth proportional to 692.84, 955.26 and 582.07 is: 802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.84 : 955.26 = 582.07 : x
  2. Step 2: Convert to fraction form
    692.84/955.26 = 582.07/x
  3. Step 3: Cross multiply
    692.84x = 955.26 × 582.07
  4. Step 4: Simplify right side
    692.84x = 556,028.19
  5. Step 5: Solve for x
    x = 556,028.19/692.84
  6. Step 6: Final answer
    x = 802.53

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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.