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Finding the Fourth Proportional to 1,079.33, 1,619.33 and 454.91

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Solution

The fourth proportional to 1,079.33, 1,619.33 and 454.91 is: 682.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.33 : 1,619.33 = 454.91 : x
  2. Step 2: Convert to fraction form
    1,079.33/1,619.33 = 454.91/x
  3. Step 3: Cross multiply
    1,079.33x = 1,619.33 × 454.91
  4. Step 4: Simplify right side
    1,079.33x = 736,639.04
  5. Step 5: Solve for x
    x = 736,639.04/1,079.33
  6. Step 6: Final answer
    x = 682.50

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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.