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Finding the Fourth Proportional to 1,157.19, 1,736.30 and 630.25

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Solution

The fourth proportional to 1,157.19, 1,736.30 and 630.25 is: 945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.19 : 1,736.30 = 630.25 : x
  2. Step 2: Convert to fraction form
    1,157.19/1,736.30 = 630.25/x
  3. Step 3: Cross multiply
    1,157.19x = 1,736.30 × 630.25
  4. Step 4: Simplify right side
    1,157.19x = 1,094,303.08
  5. Step 5: Solve for x
    x = 1,094,303.08/1,157.19
  6. Step 6: Final answer
    x = 945.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.