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Finding the Fourth Proportional to 836.99, 1,155 and 463.98

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Solution

The fourth proportional to 836.99, 1,155 and 463.98 is: 640.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.99 : 1,155 = 463.98 : x
  2. Step 2: Convert to fraction form
    836.99/1,155 = 463.98/x
  3. Step 3: Cross multiply
    836.99x = 1,155 × 463.98
  4. Step 4: Simplify right side
    836.99x = 535,896.90
  5. Step 5: Solve for x
    x = 535,896.90/836.99
  6. Step 6: Final answer
    x = 640.27

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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.