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Finding the Fourth Proportional to 1,082.13, 1,623.19 and 312.63

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Solution

The fourth proportional to 1,082.13, 1,623.19 and 312.63 is: 468.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.13 : 1,623.19 = 312.63 : x
  2. Step 2: Convert to fraction form
    1,082.13/1,623.19 = 312.63/x
  3. Step 3: Cross multiply
    1,082.13x = 1,623.19 × 312.63
  4. Step 4: Simplify right side
    1,082.13x = 507,457.89
  5. Step 5: Solve for x
    x = 507,457.89/1,082.13
  6. Step 6: Final answer
    x = 468.94

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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.