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Finding the Fourth Proportional to 1,462.29, 2,193.93 and 585.21

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Solution

The fourth proportional to 1,462.29, 2,193.93 and 585.21 is: 878.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.29 : 2,193.93 = 585.21 : x
  2. Step 2: Convert to fraction form
    1,462.29/2,193.93 = 585.21/x
  3. Step 3: Cross multiply
    1,462.29x = 2,193.93 × 585.21
  4. Step 4: Simplify right side
    1,462.29x = 1,283,909.78
  5. Step 5: Solve for x
    x = 1,283,909.78/1,462.29
  6. Step 6: Final answer
    x = 878.01

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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.