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Finding the Fourth Proportional to 692.51, 956.33 and 592.34

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Solution

The fourth proportional to 692.51, 956.33 and 592.34 is: 818.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.51 : 956.33 = 592.34 : x
  2. Step 2: Convert to fraction form
    692.51/956.33 = 592.34/x
  3. Step 3: Cross multiply
    692.51x = 956.33 × 592.34
  4. Step 4: Simplify right side
    692.51x = 566,466.99
  5. Step 5: Solve for x
    x = 566,466.99/692.51
  6. Step 6: Final answer
    x = 818.00

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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.