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Finding the Fourth Proportional to 1,102.02, 1,520.95 and 703.85

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Solution

The fourth proportional to 1,102.02, 1,520.95 and 703.85 is: 971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.02 : 1,520.95 = 703.85 : x
  2. Step 2: Convert to fraction form
    1,102.02/1,520.95 = 703.85/x
  3. Step 3: Cross multiply
    1,102.02x = 1,520.95 × 703.85
  4. Step 4: Simplify right side
    1,102.02x = 1,070,520.66
  5. Step 5: Solve for x
    x = 1,070,520.66/1,102.02
  6. Step 6: Final answer
    x = 971.42

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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.