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Finding the Fourth Proportional to 1,002.04, 1,502.58 and 352.84

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Solution

The fourth proportional to 1,002.04, 1,502.58 and 352.84 is: 529.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.04 : 1,502.58 = 352.84 : x
  2. Step 2: Convert to fraction form
    1,002.04/1,502.58 = 352.84/x
  3. Step 3: Cross multiply
    1,002.04x = 1,502.58 × 352.84
  4. Step 4: Simplify right side
    1,002.04x = 530,170.33
  5. Step 5: Solve for x
    x = 530,170.33/1,002.04
  6. Step 6: Final answer
    x = 529.09

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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.