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Finding the Fourth Proportional to 1,157.17, 1,735.33 and 463.63

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Solution

The fourth proportional to 1,157.17, 1,735.33 and 463.63 is: 695.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.17 : 1,735.33 = 463.63 : x
  2. Step 2: Convert to fraction form
    1,157.17/1,735.33 = 463.63/x
  3. Step 3: Cross multiply
    1,157.17x = 1,735.33 × 463.63
  4. Step 4: Simplify right side
    1,157.17x = 804,551.05
  5. Step 5: Solve for x
    x = 804,551.05/1,157.17
  6. Step 6: Final answer
    x = 695.27

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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.