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Finding the Fourth Proportional to 1,041.81, 1,562.09 and 521.21

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Solution

The fourth proportional to 1,041.81, 1,562.09 and 521.21 is: 781.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.81 : 1,562.09 = 521.21 : x
  2. Step 2: Convert to fraction form
    1,041.81/1,562.09 = 521.21/x
  3. Step 3: Cross multiply
    1,041.81x = 1,562.09 × 521.21
  4. Step 4: Simplify right side
    1,041.81x = 814,166.51
  5. Step 5: Solve for x
    x = 814,166.51/1,041.81
  6. Step 6: Final answer
    x = 781.49

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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.