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Finding the Fourth Proportional to 1,320.99, 1,981.49 and 591.08

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Solution

The fourth proportional to 1,320.99, 1,981.49 and 591.08 is: 886.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.99 : 1,981.49 = 591.08 : x
  2. Step 2: Convert to fraction form
    1,320.99/1,981.49 = 591.08/x
  3. Step 3: Cross multiply
    1,320.99x = 1,981.49 × 591.08
  4. Step 4: Simplify right side
    1,320.99x = 1,171,219.11
  5. Step 5: Solve for x
    x = 1,171,219.11/1,320.99
  6. Step 6: Final answer
    x = 886.62

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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.