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Finding the Fourth Proportional to 1,002.18, 1,502.78 and 352.82

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Solution

The fourth proportional to 1,002.18, 1,502.78 and 352.82 is: 529.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.18 : 1,502.78 = 352.82 : x
  2. Step 2: Convert to fraction form
    1,002.18/1,502.78 = 352.82/x
  3. Step 3: Cross multiply
    1,002.18x = 1,502.78 × 352.82
  4. Step 4: Simplify right side
    1,002.18x = 530,210.84
  5. Step 5: Solve for x
    x = 530,210.84/1,002.18
  6. Step 6: Final answer
    x = 529.06

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