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Finding the Fourth Proportional to 1,078.19, 1,618.30 and 530.77

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Solution

The fourth proportional to 1,078.19, 1,618.30 and 530.77 is: 796.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.19 : 1,618.30 = 530.77 : x
  2. Step 2: Convert to fraction form
    1,078.19/1,618.30 = 530.77/x
  3. Step 3: Cross multiply
    1,078.19x = 1,618.30 × 530.77
  4. Step 4: Simplify right side
    1,078.19x = 858,945.09
  5. Step 5: Solve for x
    x = 858,945.09/1,078.19
  6. Step 6: Final answer
    x = 796.65

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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.