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Finding the Fourth Proportional to 1,086.23, 1,498.99 and 588.87

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Solution

The fourth proportional to 1,086.23, 1,498.99 and 588.87 is: 812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.23 : 1,498.99 = 588.87 : x
  2. Step 2: Convert to fraction form
    1,086.23/1,498.99 = 588.87/x
  3. Step 3: Cross multiply
    1,086.23x = 1,498.99 × 588.87
  4. Step 4: Simplify right side
    1,086.23x = 882,710.24
  5. Step 5: Solve for x
    x = 882,710.24/1,086.23
  6. Step 6: Final answer
    x = 812.64

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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.