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Finding the Fourth Proportional to 1,188.97, 1,783.87 and 530.78

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Solution

The fourth proportional to 1,188.97, 1,783.87 and 530.78 is: 796.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.97 : 1,783.87 = 530.78 : x
  2. Step 2: Convert to fraction form
    1,188.97/1,783.87 = 530.78/x
  3. Step 3: Cross multiply
    1,188.97x = 1,783.87 × 530.78
  4. Step 4: Simplify right side
    1,188.97x = 946,841.19
  5. Step 5: Solve for x
    x = 946,841.19/1,188.97
  6. Step 6: Final answer
    x = 796.36

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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.