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Finding the Fourth Proportional to 1,061.05, 1,464.27 and 588.98

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Solution

The fourth proportional to 1,061.05, 1,464.27 and 588.98 is: 812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.05 : 1,464.27 = 588.98 : x
  2. Step 2: Convert to fraction form
    1,061.05/1,464.27 = 588.98/x
  3. Step 3: Cross multiply
    1,061.05x = 1,464.27 × 588.98
  4. Step 4: Simplify right side
    1,061.05x = 862,422.44
  5. Step 5: Solve for x
    x = 862,422.44/1,061.05
  6. Step 6: Final answer
    x = 812.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.