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Finding the Fourth Proportional to 1,082.79, 1,624.27 and 370.13

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Solution

The fourth proportional to 1,082.79, 1,624.27 and 370.13 is: 555.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.79 : 1,624.27 = 370.13 : x
  2. Step 2: Convert to fraction form
    1,082.79/1,624.27 = 370.13/x
  3. Step 3: Cross multiply
    1,082.79x = 1,624.27 × 370.13
  4. Step 4: Simplify right side
    1,082.79x = 601,186.07
  5. Step 5: Solve for x
    x = 601,186.07/1,082.79
  6. Step 6: Final answer
    x = 555.22

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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.