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Finding the Fourth Proportional to 1,085.18, 1,628.29 and 530.58

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Solution

The fourth proportional to 1,085.18, 1,628.29 and 530.58 is: 796.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.18 : 1,628.29 = 530.58 : x
  2. Step 2: Convert to fraction form
    1,085.18/1,628.29 = 530.58/x
  3. Step 3: Cross multiply
    1,085.18x = 1,628.29 × 530.58
  4. Step 4: Simplify right side
    1,085.18x = 863,930.39
  5. Step 5: Solve for x
    x = 863,930.39/1,085.18
  6. Step 6: Final answer
    x = 796.11

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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.