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Finding the Fourth Proportional to 1,036.41, 1,555.64 and 864.18

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Solution

The fourth proportional to 1,036.41, 1,555.64 and 864.18 is: 1,297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.41 : 1,555.64 = 864.18 : x
  2. Step 2: Convert to fraction form
    1,036.41/1,555.64 = 864.18/x
  3. Step 3: Cross multiply
    1,036.41x = 1,555.64 × 864.18
  4. Step 4: Simplify right side
    1,036.41x = 1,344,348.65
  5. Step 5: Solve for x
    x = 1,344,348.65/1,036.41
  6. Step 6: Final answer
    x = 1,297.12

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Why These Related Problems?

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