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Finding the Fourth Proportional to 1,495.82, 2,064.55 and 964.33

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Solution

The fourth proportional to 1,495.82, 2,064.55 and 964.33 is: 1,330.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.82 : 2,064.55 = 964.33 : x
  2. Step 2: Convert to fraction form
    1,495.82/2,064.55 = 964.33/x
  3. Step 3: Cross multiply
    1,495.82x = 2,064.55 × 964.33
  4. Step 4: Simplify right side
    1,495.82x = 1,990,908.90
  5. Step 5: Solve for x
    x = 1,990,908.90/1,495.82
  6. Step 6: Final answer
    x = 1,330.98

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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.