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Finding the Fourth Proportional to 699.70, 1,048.64 and 436.05

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Solution

The fourth proportional to 699.70, 1,048.64 and 436.05 is: 653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.70 : 1,048.64 = 436.05 : x
  2. Step 2: Convert to fraction form
    699.70/1,048.64 = 436.05/x
  3. Step 3: Cross multiply
    699.70x = 1,048.64 × 436.05
  4. Step 4: Simplify right side
    699.70x = 457,255.54
  5. Step 5: Solve for x
    x = 457,255.54/699.70
  6. Step 6: Final answer
    x = 653.50

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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.