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Finding the Fourth Proportional to 1,157.64, 1,736.42 and 464.10

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Solution

The fourth proportional to 1,157.64, 1,736.42 and 464.10 is: 696.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.64 : 1,736.42 = 464.10 : x
  2. Step 2: Convert to fraction form
    1,157.64/1,736.42 = 464.10/x
  3. Step 3: Cross multiply
    1,157.64x = 1,736.42 × 464.10
  4. Step 4: Simplify right side
    1,157.64x = 805,870.20
  5. Step 5: Solve for x
    x = 805,870.20/1,157.64
  6. Step 6: Final answer
    x = 696.13

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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.