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Finding the Fourth Proportional to 1,179.72, 1,769.64 and 530.28

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Solution

The fourth proportional to 1,179.72, 1,769.64 and 530.28 is: 795.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.72 : 1,769.64 = 530.28 : x
  2. Step 2: Convert to fraction form
    1,179.72/1,769.64 = 530.28/x
  3. Step 3: Cross multiply
    1,179.72x = 1,769.64 × 530.28
  4. Step 4: Simplify right side
    1,179.72x = 938,404.70
  5. Step 5: Solve for x
    x = 938,404.70/1,179.72
  6. Step 6: Final answer
    x = 795.45

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