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Finding the Fourth Proportional to 847.10, 1,269.08 and 436.49

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Solution

The fourth proportional to 847.10, 1,269.08 and 436.49 is: 653.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.10 : 1,269.08 = 436.49 : x
  2. Step 2: Convert to fraction form
    847.10/1,269.08 = 436.49/x
  3. Step 3: Cross multiply
    847.10x = 1,269.08 × 436.49
  4. Step 4: Simplify right side
    847.10x = 553,932.20
  5. Step 5: Solve for x
    x = 553,932.20/847.10
  6. Step 6: Final answer
    x = 653.92

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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.