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Finding the Fourth Proportional to 1,259.30, 1,738.68 and 964.04

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Solution

The fourth proportional to 1,259.30, 1,738.68 and 964.04 is: 1,331.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.30 : 1,738.68 = 964.04 : x
  2. Step 2: Convert to fraction form
    1,259.30/1,738.68 = 964.04/x
  3. Step 3: Cross multiply
    1,259.30x = 1,738.68 × 964.04
  4. Step 4: Simplify right side
    1,259.30x = 1,676,157.07
  5. Step 5: Solve for x
    x = 1,676,157.07/1,259.30
  6. Step 6: Final answer
    x = 1,331.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.