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Finding the Fourth Proportional to 1,011.57, 1,396.13 and 591.99

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Solution

The fourth proportional to 1,011.57, 1,396.13 and 591.99 is: 817.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.57 : 1,396.13 = 591.99 : x
  2. Step 2: Convert to fraction form
    1,011.57/1,396.13 = 591.99/x
  3. Step 3: Cross multiply
    1,011.57x = 1,396.13 × 591.99
  4. Step 4: Simplify right side
    1,011.57x = 826,492.04
  5. Step 5: Solve for x
    x = 826,492.04/1,011.57
  6. Step 6: Final answer
    x = 817.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.