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Finding the Fourth Proportional to 1,065.50, 1,467.35 and 914.94

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Solution

The fourth proportional to 1,065.50, 1,467.35 and 914.94 is: 1,260.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.50 : 1,467.35 = 914.94 : x
  2. Step 2: Convert to fraction form
    1,065.50/1,467.35 = 914.94/x
  3. Step 3: Cross multiply
    1,065.50x = 1,467.35 × 914.94
  4. Step 4: Simplify right side
    1,065.50x = 1,342,536.07
  5. Step 5: Solve for x
    x = 1,342,536.07/1,065.50
  6. Step 6: Final answer
    x = 1,260.01

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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.