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Finding the Fourth Proportional to 1,533.91, 2,300.57 and 596.86

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Solution

The fourth proportional to 1,533.91, 2,300.57 and 596.86 is: 895.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.91 : 2,300.57 = 596.86 : x
  2. Step 2: Convert to fraction form
    1,533.91/2,300.57 = 596.86/x
  3. Step 3: Cross multiply
    1,533.91x = 2,300.57 × 596.86
  4. Step 4: Simplify right side
    1,533.91x = 1,373,118.18
  5. Step 5: Solve for x
    x = 1,373,118.18/1,533.91
  6. Step 6: Final answer
    x = 895.17

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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.