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Finding the Fourth Proportional to 943.80, 1,415.86 and 533.74

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Solution

The fourth proportional to 943.80, 1,415.86 and 533.74 is: 800.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.80 : 1,415.86 = 533.74 : x
  2. Step 2: Convert to fraction form
    943.80/1,415.86 = 533.74/x
  3. Step 3: Cross multiply
    943.80x = 1,415.86 × 533.74
  4. Step 4: Simplify right side
    943.80x = 755,696.24
  5. Step 5: Solve for x
    x = 755,696.24/943.80
  6. Step 6: Final answer
    x = 800.70

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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.