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Finding the Fourth Proportional to 1,465.71, 2,198.16 and 588.21

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Solution

The fourth proportional to 1,465.71, 2,198.16 and 588.21 is: 882.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.71 : 2,198.16 = 588.21 : x
  2. Step 2: Convert to fraction form
    1,465.71/2,198.16 = 588.21/x
  3. Step 3: Cross multiply
    1,465.71x = 2,198.16 × 588.21
  4. Step 4: Simplify right side
    1,465.71x = 1,292,979.69
  5. Step 5: Solve for x
    x = 1,292,979.69/1,465.71
  6. Step 6: Final answer
    x = 882.15

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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.