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Finding the Fourth Proportional to 855.06, 1,283.15 and 530.65

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Solution

The fourth proportional to 855.06, 1,283.15 and 530.65 is: 796.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.06 : 1,283.15 = 530.65 : x
  2. Step 2: Convert to fraction form
    855.06/1,283.15 = 530.65/x
  3. Step 3: Cross multiply
    855.06x = 1,283.15 × 530.65
  4. Step 4: Simplify right side
    855.06x = 680,903.55
  5. Step 5: Solve for x
    x = 680,903.55/855.06
  6. Step 6: Final answer
    x = 796.32

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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.