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Finding the Fourth Proportional to 1,020.38, 1,530.42 and 657.71

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Solution

The fourth proportional to 1,020.38, 1,530.42 and 657.71 is: 986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.38 : 1,530.42 = 657.71 : x
  2. Step 2: Convert to fraction form
    1,020.38/1,530.42 = 657.71/x
  3. Step 3: Cross multiply
    1,020.38x = 1,530.42 × 657.71
  4. Step 4: Simplify right side
    1,020.38x = 1,006,564.89
  5. Step 5: Solve for x
    x = 1,006,564.89/1,020.38
  6. Step 6: Final answer
    x = 986.47

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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.