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Finding the Fourth Proportional to 865.69, 1,194.63 and 534.67

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Solution

The fourth proportional to 865.69, 1,194.63 and 534.67 is: 737.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.69 : 1,194.63 = 534.67 : x
  2. Step 2: Convert to fraction form
    865.69/1,194.63 = 534.67/x
  3. Step 3: Cross multiply
    865.69x = 1,194.63 × 534.67
  4. Step 4: Simplify right side
    865.69x = 638,732.82
  5. Step 5: Solve for x
    x = 638,732.82/865.69
  6. Step 6: Final answer
    x = 737.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.