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Finding the Fourth Proportional to 1,157.02, 1,736.20 and 463.57

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Solution

The fourth proportional to 1,157.02, 1,736.20 and 463.57 is: 695.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.02 : 1,736.20 = 463.57 : x
  2. Step 2: Convert to fraction form
    1,157.02/1,736.20 = 463.57/x
  3. Step 3: Cross multiply
    1,157.02x = 1,736.20 × 463.57
  4. Step 4: Simplify right side
    1,157.02x = 804,846.47
  5. Step 5: Solve for x
    x = 804,846.47/1,157.02
  6. Step 6: Final answer
    x = 695.62

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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.