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Finding the Fourth Proportional to 913.01, 1,370.18 and 588.33

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Solution

The fourth proportional to 913.01, 1,370.18 and 588.33 is: 882.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.01 : 1,370.18 = 588.33 : x
  2. Step 2: Convert to fraction form
    913.01/1,370.18 = 588.33/x
  3. Step 3: Cross multiply
    913.01x = 1,370.18 × 588.33
  4. Step 4: Simplify right side
    913.01x = 806,119.47
  5. Step 5: Solve for x
    x = 806,119.47/913.01
  6. Step 6: Final answer
    x = 882.93

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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.