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Finding the Fourth Proportional to 1,065.69, 1,597.32 and 654.21

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Solution

The fourth proportional to 1,065.69, 1,597.32 and 654.21 is: 980.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.69 : 1,597.32 = 654.21 : x
  2. Step 2: Convert to fraction form
    1,065.69/1,597.32 = 654.21/x
  3. Step 3: Cross multiply
    1,065.69x = 1,597.32 × 654.21
  4. Step 4: Simplify right side
    1,065.69x = 1,044,982.72
  5. Step 5: Solve for x
    x = 1,044,982.72/1,065.69
  6. Step 6: Final answer
    x = 980.57

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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.