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Finding the Fourth Proportional to 692.64, 1,034.66 and 555.95

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Solution

The fourth proportional to 692.64, 1,034.66 and 555.95 is: 830.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.64 : 1,034.66 = 555.95 : x
  2. Step 2: Convert to fraction form
    692.64/1,034.66 = 555.95/x
  3. Step 3: Cross multiply
    692.64x = 1,034.66 × 555.95
  4. Step 4: Simplify right side
    692.64x = 575,211.27
  5. Step 5: Solve for x
    x = 575,211.27/692.64
  6. Step 6: Final answer
    x = 830.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.