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Finding the Fourth Proportional to 1,041.75, 1,564.19 and 654.21

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Solution

The fourth proportional to 1,041.75, 1,564.19 and 654.21 is: 982.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.75 : 1,564.19 = 654.21 : x
  2. Step 2: Convert to fraction form
    1,041.75/1,564.19 = 654.21/x
  3. Step 3: Cross multiply
    1,041.75x = 1,564.19 × 654.21
  4. Step 4: Simplify right side
    1,041.75x = 1,023,308.74
  5. Step 5: Solve for x
    x = 1,023,308.74/1,041.75
  6. Step 6: Final answer
    x = 982.30

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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.