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Finding the Fourth Proportional to 1,180.10, 1,769.70 and 530.40

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Solution

The fourth proportional to 1,180.10, 1,769.70 and 530.40 is: 795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.10 : 1,769.70 = 530.40 : x
  2. Step 2: Convert to fraction form
    1,180.10/1,769.70 = 530.40/x
  3. Step 3: Cross multiply
    1,180.10x = 1,769.70 × 530.40
  4. Step 4: Simplify right side
    1,180.10x = 938,648.88
  5. Step 5: Solve for x
    x = 938,648.88/1,180.10
  6. Step 6: Final answer
    x = 795.40

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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.