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Finding the Fourth Proportional to 935.02, 1,402.80 and 692.02

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Solution

The fourth proportional to 935.02, 1,402.80 and 692.02 is: 1,038.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.02 : 1,402.80 = 692.02 : x
  2. Step 2: Convert to fraction form
    935.02/1,402.80 = 692.02/x
  3. Step 3: Cross multiply
    935.02x = 1,402.80 × 692.02
  4. Step 4: Simplify right side
    935.02x = 970,765.66
  5. Step 5: Solve for x
    x = 970,765.66/935.02
  6. Step 6: Final answer
    x = 1,038.23

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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.