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Finding the Fourth Proportional to 1,101.02, 1,519.35 and 603.62

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Solution

The fourth proportional to 1,101.02, 1,519.35 and 603.62 is: 832.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.02 : 1,519.35 = 603.62 : x
  2. Step 2: Convert to fraction form
    1,101.02/1,519.35 = 603.62/x
  3. Step 3: Cross multiply
    1,101.02x = 1,519.35 × 603.62
  4. Step 4: Simplify right side
    1,101.02x = 917,102.45
  5. Step 5: Solve for x
    x = 917,102.45/1,101.02
  6. Step 6: Final answer
    x = 832.96

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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.