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Finding the Fourth Proportional to 1,020.71, 1,528.87 and 689.83

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Solution

The fourth proportional to 1,020.71, 1,528.87 and 689.83 is: 1,033.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.71 : 1,528.87 = 689.83 : x
  2. Step 2: Convert to fraction form
    1,020.71/1,528.87 = 689.83/x
  3. Step 3: Cross multiply
    1,020.71x = 1,528.87 × 689.83
  4. Step 4: Simplify right side
    1,020.71x = 1,054,654.85
  5. Step 5: Solve for x
    x = 1,054,654.85/1,020.71
  6. Step 6: Final answer
    x = 1,033.25

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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.