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Finding the Fourth Proportional to 1,064.50, 1,467.59 and 955.15

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Solution

The fourth proportional to 1,064.50, 1,467.59 and 955.15 is: 1,316.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.50 : 1,467.59 = 955.15 : x
  2. Step 2: Convert to fraction form
    1,064.50/1,467.59 = 955.15/x
  3. Step 3: Cross multiply
    1,064.50x = 1,467.59 × 955.15
  4. Step 4: Simplify right side
    1,064.50x = 1,401,760.14
  5. Step 5: Solve for x
    x = 1,401,760.14/1,064.50
  6. Step 6: Final answer
    x = 1,316.83

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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.