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Finding the Fourth Proportional to 1,082.84, 1,624.08 and 313.16

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Solution

The fourth proportional to 1,082.84, 1,624.08 and 313.16 is: 469.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.84 : 1,624.08 = 313.16 : x
  2. Step 2: Convert to fraction form
    1,082.84/1,624.08 = 313.16/x
  3. Step 3: Cross multiply
    1,082.84x = 1,624.08 × 313.16
  4. Step 4: Simplify right side
    1,082.84x = 508,596.89
  5. Step 5: Solve for x
    x = 508,596.89/1,082.84
  6. Step 6: Final answer
    x = 469.69

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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.