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Finding the Fourth Proportional to 1,157.52, 1,736.22 and 464.00

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Solution

The fourth proportional to 1,157.52, 1,736.22 and 464.00 is: 695.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.52 : 1,736.22 = 464.00 : x
  2. Step 2: Convert to fraction form
    1,157.52/1,736.22 = 464.00/x
  3. Step 3: Cross multiply
    1,157.52x = 1,736.22 × 464.00
  4. Step 4: Simplify right side
    1,157.52x = 805,610.42
  5. Step 5: Solve for x
    x = 805,610.42/1,157.52
  6. Step 6: Final answer
    x = 695.98

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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.