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Finding the Fourth Proportional to 1,199.53, 1,798.61 and 468.70

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Solution

The fourth proportional to 1,199.53, 1,798.61 and 468.70 is: 702.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.53 : 1,798.61 = 468.70 : x
  2. Step 2: Convert to fraction form
    1,199.53/1,798.61 = 468.70/x
  3. Step 3: Cross multiply
    1,199.53x = 1,798.61 × 468.70
  4. Step 4: Simplify right side
    1,199.53x = 843,011.78
  5. Step 5: Solve for x
    x = 843,011.78/1,199.53
  6. Step 6: Final answer
    x = 702.79

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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.