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Finding the Fourth Proportional to 1,082.63, 1,624.14 and 352.01

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Solution

The fourth proportional to 1,082.63, 1,624.14 and 352.01 is: 528.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.63 : 1,624.14 = 352.01 : x
  2. Step 2: Convert to fraction form
    1,082.63/1,624.14 = 352.01/x
  3. Step 3: Cross multiply
    1,082.63x = 1,624.14 × 352.01
  4. Step 4: Simplify right side
    1,082.63x = 571,705.40
  5. Step 5: Solve for x
    x = 571,705.40/1,082.63
  6. Step 6: Final answer
    x = 528.07

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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.