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Finding the Fourth Proportional to 1,157.21, 1,735.47 and 463.64

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Solution

The fourth proportional to 1,157.21, 1,735.47 and 463.64 is: 695.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.21 : 1,735.47 = 463.64 : x
  2. Step 2: Convert to fraction form
    1,157.21/1,735.47 = 463.64/x
  3. Step 3: Cross multiply
    1,157.21x = 1,735.47 × 463.64
  4. Step 4: Simplify right side
    1,157.21x = 804,633.31
  5. Step 5: Solve for x
    x = 804,633.31/1,157.21
  6. Step 6: Final answer
    x = 695.32

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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.