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Finding the Fourth Proportional to 846.36, 1,267.76 and 434.24

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Solution

The fourth proportional to 846.36, 1,267.76 and 434.24 is: 650.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.36 : 1,267.76 = 434.24 : x
  2. Step 2: Convert to fraction form
    846.36/1,267.76 = 434.24/x
  3. Step 3: Cross multiply
    846.36x = 1,267.76 × 434.24
  4. Step 4: Simplify right side
    846.36x = 550,512.10
  5. Step 5: Solve for x
    x = 550,512.10/846.36
  6. Step 6: Final answer
    x = 650.45

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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.