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Finding the Fourth Proportional to 1,002.16, 1,501.99 and 352.12

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Solution

The fourth proportional to 1,002.16, 1,501.99 and 352.12 is: 527.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.16 : 1,501.99 = 352.12 : x
  2. Step 2: Convert to fraction form
    1,002.16/1,501.99 = 352.12/x
  3. Step 3: Cross multiply
    1,002.16x = 1,501.99 × 352.12
  4. Step 4: Simplify right side
    1,002.16x = 528,880.72
  5. Step 5: Solve for x
    x = 528,880.72/1,002.16
  6. Step 6: Final answer
    x = 527.74

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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.