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Finding the Fourth Proportional to 692.01, 1,036.80 and 583.02

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Solution

The fourth proportional to 692.01, 1,036.80 and 583.02 is: 873.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.01 : 1,036.80 = 583.02 : x
  2. Step 2: Convert to fraction form
    692.01/1,036.80 = 583.02/x
  3. Step 3: Cross multiply
    692.01x = 1,036.80 × 583.02
  4. Step 4: Simplify right side
    692.01x = 604,475.14
  5. Step 5: Solve for x
    x = 604,475.14/692.01
  6. Step 6: Final answer
    x = 873.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.